Cover image of Partial Differential Equations

Partial Differential Equations

This course introduced the basic properties of separable Hilbert spaces, taking the space of sequences l^2 as the reference example. The properties of the Hilbert cube have been analyzed. The problem ... Read more

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

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 re... Read more

31 Aug 2011

59mins

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

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 re... Read more

31 Aug 2011

59mins

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

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 re... Read more

31 Aug 2011

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

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 re... Read more

31 Aug 2011

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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)

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 re... Read more

31 Aug 2011

59mins

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

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 re... Read more

31 Aug 2011

59mins

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

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 re... Read more

31 Aug 2011

24mins

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04b Completion of a metric space.(recorded 2011.02.16 at 15:00)

04b Completion of a metric space.(recorded 2011.02.16 at 15:00)

ICTP Postgraduate Diploma Course in Mathematics - Lectures on Partial Differential Equations -- NOTE: This course was re... Read more

31 Aug 2011

59mins

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

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 re... Read more

31 Aug 2011

59mins

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

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 re... Read more

31 Aug 2011

59mins

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