Partial Differential Equations

By Giovanni Bellettini (Univ. of Roma Tor Vergata)

What's Partial Differential Equations about?

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Partial Differential Equations episodes:

08.31.2011
28b Weak solutions of the non-homogeneous Poisson equation. Linear parabolic equations. The Cauchy problem and the Fourier transform. Qualitative properties of solutions. (recorded 2011.05.04 at 15:00
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
28a Weak solutions of the non-homogeneous Poisson equation. Linear parabolic equations. The Cauchy problem and the Fourier transform. Qualitative properties of solutions. (recorded 2011.05.04 at 14:00
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
30b Convolution and Fourier transform. Fundamental solutions. (recorded 2011.05.06 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
30a Convolution and Fourier transform. Fundamental solutions. (recorded 2011.05.06 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
29b Weak solutions of the non-homogeneous heat equation. The Cauchy problem for the wave equation. (recorded 2011.05.05 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
29a Weak solutions of the non-homogeneous heat equation. The Cauchy problem for the wave equation. (recorded 2011.05.05 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
27b Linear elliptic operators and Fourier transform. Poisson equation in the half-space. (recorded 2011.04.29 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
27a Linear elliptic operators and Fourier transform. Poisson equation in the half-space. (recorded 2011.04.29 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
26b Sobolev spaces with real exponent using the Fourier transform. Applications of the Fourier transform to linear elliptic PDEs. (recorded 2011.04.28 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
26a Sobolev spaces with real exponent using the Fourier transform. Applications of the Fourier transform to linear elliptic PDEs. (recorded 2011.04.28 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
25b Sobolev spaces with natural exponent. Characterization using the Fourier transform. Embedding in spaces C^k. (recorded 2011.04.27 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
25a Sobolev spaces with natural exponent. Characterization using the Fourier transform. Embedding in spaces C^k. (recorded 2011.04.27 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
24b The Fourier transform on tempered distributions. (recorded 2011.04.21 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
24a The Fourier transform on tempered distributions. (recorded 2011.04.21 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
23b Some properties of the Schwarz space. Fourier transform on the Schwarz space. Tempered distributions. (recorded 2011.04.20 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
23a Some properties of the Schwarz space. Fourier transform on the Schwarz space. Tempered distributions. (recorded 2011.04.20 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
22b Uncertainty principle. Rapidly decreasing functions: the Schwarz space. (recorded 2011.04.15 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
22a Uncertainty principle. Rapidly decreasing functions: the Schwarz space. (recorded 2011.04.15 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
21b Fourier transform and differentiation. On the inversion of the Fourier transform. (recorded 2011.04.14 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
21a Fourier transform and differentiation. On the inversion of the Fourier transform. (recorded 2011.04.14 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
20b The Fourier transform in L^1. Properties and examples. Fourier transform of e^{-|x|^2}. (recorded 2011.04.13 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
$20b The Fourier transform in L^1. Properties and examples. Fourier transform of e^{-|x|^2}. (recorded 2011.04.13 at 15:00)$
08.31.2011
20a The Fourier transform in L^1. Properties and examples. Fourier transform of e^{-|x|^2}. (recorded 2011.04.13 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
$20a The Fourier transform in L^1. Properties and examples. Fourier transform of e^{-|x|^2}. (recorded 2011.04.13 at 14:00)$
08.31.2011
19b On the support of a distribution. Convolution of distributions. Pull back of a distribution. (recorded 2011.04.08 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
19a On the support of a distribution. Convolution of distributions. Pull back of a distribution. (recorded 2011.04.08 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
18b Localization and support of a distribution. (recorded 2011.04.07 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
18a Localization and support of a distribution. (recorded 2011.04.07 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
17b Fundamental solution of a linear differential operator with constant coefficients. Examples: heat kernel. (recorded 2011.04.06 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
17a Fundamental solution of a linear differential operator with constant coefficients. Examples: heat kernel. (recorded 2011.04.06 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
16b Distributional derivative. Examples. Distributional laplacian of 1/|x| in R^3. (recorded 2011.03.25 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
16a Distributional derivative. Examples. Distributional laplacian of 1/|x| in R^3. (recorded 2011.03.25 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
15b Dirac delta. Principal value. Operations on distributions. (recorded 2011.03.24 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
15a Dirac delta. Principal value. Operations on distributions. (recorded 2011.03.24 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
14b The space of smooth functions with compact support: notion of convergence. Distributions. Criterion to be a distribution. Distributions representable by integration. (recorded 2011.03.23 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
14a The space of smooth functions with compact support: notion of convergence. Distributions. Criterion to be a distribution. Distributions representable by integration. (recorded 2011.03.23 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
13b The open mapping theorem. The closed graph theorem. (recorded 2011.03.18 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
13a The open mapping theorem. The closed graph theorem. (recorded 2011.03.18 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
12b Hahn-Banach theorems, IV. Banach-Steinhaus theorem. (recorded 2011.03.17 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
12a Hahn-Banach theorems, IV. Banach-Steinhaus theorem. (recorded 2011.03.17 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
11b Hahn-Banach theorems, III. (recorded 2011.03.16 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
11a Hahn-Banach theorems, III. (recorded 2011.03.16 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
10b The Hahn-Banach theorems, II. (recorded 2011.03.11 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
10a The Hahn-Banach theorems, II. (recorded 2011.03.11 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
09 On discontinuous linear operators. Hahn-Banach theorem, I. Norm preserving extension of a linear continuous operator. (recorded 2011.03.10 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
08b Hilbert bases. Examples. (recorded 2011.02.25 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
08a Hilbert bases. Examples. (recorded 2011.02.25 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
07b The Riesz map. Hamel bases. Schauder bases. (recorded 2011.02.24 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
07a The Riesz map. Hamel bases. Schauder bases. (recorded 2011.02.24 at 09:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
06b Banach spaces. Linear operators on Banach spaces. (recorded 2011.02.23 at 15:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
06a Banach spaces. Linear operators on Banach spaces. (recorded 2011.02.23 at 14:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...
08.31.2011
05b Projection on a closed subspace of a Hilbert space. (recorded 2011.02.18 at 10:00)
ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was recorded automatically in slots of one hour and processed without human intervention. Lectures are split between videos; their starting time may not coincide...

What's Partial Differential Equations about?

Download our free app to listen on your phone

Partial Differential Equations episodes:

28b Weak solutions of the non-homogeneous Poisson equation. Linear parabolic equations. The Cauchy problem and the Fourier transform. Qualitative properties of solutions. (recorded 2011.05.04 at 15:00

28a Weak solutions of the non-homogeneous Poisson equation. Linear parabolic equations. The Cauchy problem and the Fourier transform. Qualitative properties of solutions. (recorded 2011.05.04 at 14:00

30b Convolution and Fourier transform. Fundamental solutions. (recorded 2011.05.06 at 10:00)

30a Convolution and Fourier transform. Fundamental solutions. (recorded 2011.05.06 at 09:00)

29b Weak solutions of the non-homogeneous heat equation. The Cauchy problem for the wave equation. (recorded 2011.05.05 at 10:00)

29a Weak solutions of the non-homogeneous heat equation. The Cauchy problem for the wave equation. (recorded 2011.05.05 at 09:00)

27b Linear elliptic operators and Fourier transform. Poisson equation in the half-space. (recorded 2011.04.29 at 10:00)

27a Linear elliptic operators and Fourier transform. Poisson equation in the half-space. (recorded 2011.04.29 at 09:00)

26b Sobolev spaces with real exponent using the Fourier transform. Applications of the Fourier transform to linear elliptic PDEs. (recorded 2011.04.28 at 10:00)

26a Sobolev spaces with real exponent using the Fourier transform. Applications of the Fourier transform to linear elliptic PDEs. (recorded 2011.04.28 at 09:00)

25b Sobolev spaces with natural exponent. Characterization using the Fourier transform. Embedding in spaces C^k. (recorded 2011.04.27 at 15:00)

25a Sobolev spaces with natural exponent. Characterization using the Fourier transform. Embedding in spaces C^k. (recorded 2011.04.27 at 14:00)

24b The Fourier transform on tempered distributions. (recorded 2011.04.21 at 10:00)

24a The Fourier transform on tempered distributions. (recorded 2011.04.21 at 09:00)

23b Some properties of the Schwarz space. Fourier transform on the Schwarz space. Tempered distributions. (recorded 2011.04.20 at 15:00)

23a Some properties of the Schwarz space. Fourier transform on the Schwarz space. Tempered distributions. (recorded 2011.04.20 at 14:00)

22b Uncertainty principle. Rapidly decreasing functions: the Schwarz space. (recorded 2011.04.15 at 10:00)

22a Uncertainty principle. Rapidly decreasing functions: the Schwarz space. (recorded 2011.04.15 at 09:00)

21b Fourier transform and differentiation. On the inversion of the Fourier transform. (recorded 2011.04.14 at 10:00)

21a Fourier transform and differentiation. On the inversion of the Fourier transform. (recorded 2011.04.14 at 09:00)

20b The Fourier transform in L^1. Properties and examples. Fourier transform of e^{-|x|^2}. (recorded 2011.04.13 at 15:00)

20a The Fourier transform in L^1. Properties and examples. Fourier transform of e^{-|x|^2}. (recorded 2011.04.13 at 14:00)

19b On the support of a distribution. Convolution of distributions. Pull back of a distribution. (recorded 2011.04.08 at 10:00)

19a On the support of a distribution. Convolution of distributions. Pull back of a distribution. (recorded 2011.04.08 at 09:00)

18b Localization and support of a distribution. (recorded 2011.04.07 at 10:00)

18a Localization and support of a distribution. (recorded 2011.04.07 at 09:00)

17b Fundamental solution of a linear differential operator with constant coefficients. Examples: heat kernel. (recorded 2011.04.06 at 15:00)

17a Fundamental solution of a linear differential operator with constant coefficients. Examples: heat kernel. (recorded 2011.04.06 at 14:00)

16b Distributional derivative. Examples. Distributional laplacian of 1/|x| in R^3. (recorded 2011.03.25 at 10:00)

16a Distributional derivative. Examples. Distributional laplacian of 1/|x| in R^3. (recorded 2011.03.25 at 09:00)

15b Dirac delta. Principal value. Operations on distributions. (recorded 2011.03.24 at 10:00)

15a Dirac delta. Principal value. Operations on distributions. (recorded 2011.03.24 at 09:00)

14b The space of smooth functions with compact support: notion of convergence. Distributions. Criterion to be a distribution. Distributions representable by integration. (recorded 2011.03.23 at 15:00)

14a The space of smooth functions with compact support: notion of convergence. Distributions. Criterion to be a distribution. Distributions representable by integration. (recorded 2011.03.23 at 14:00)

13b The open mapping theorem. The closed graph theorem. (recorded 2011.03.18 at 10:00)

13a The open mapping theorem. The closed graph theorem. (recorded 2011.03.18 at 09:00)

12b Hahn-Banach theorems, IV. Banach-Steinhaus theorem. (recorded 2011.03.17 at 10:00)

12a Hahn-Banach theorems, IV. Banach-Steinhaus theorem. (recorded 2011.03.17 at 09:00)

11b Hahn-Banach theorems, III. (recorded 2011.03.16 at 15:00)

11a Hahn-Banach theorems, III. (recorded 2011.03.16 at 14:00)

10b The Hahn-Banach theorems, II. (recorded 2011.03.11 at 10:00)

10a The Hahn-Banach theorems, II. (recorded 2011.03.11 at 09:00)

09 On discontinuous linear operators. Hahn-Banach theorem, I. Norm preserving extension of a linear continuous operator. (recorded 2011.03.10 at 09:00)

08b Hilbert bases. Examples. (recorded 2011.02.25 at 10:00)

08a Hilbert bases. Examples. (recorded 2011.02.25 at 09:00)

07b The Riesz map. Hamel bases. Schauder bases. (recorded 2011.02.24 at 10:00)

07a The Riesz map. Hamel bases. Schauder bases. (recorded 2011.02.24 at 09:00)

06b Banach spaces. Linear operators on Banach spaces. (recorded 2011.02.23 at 15:00)

06a Banach spaces. Linear operators on Banach spaces. (recorded 2011.02.23 at 14:00)

05b Projection on a closed subspace of a Hilbert space. (recorded 2011.02.18 at 10:00)