Second order elliptic equations

9 junho 2010, 13:00 • Pedro Alves Martins da Silva Girão

Application of the Fredholm alternative to linear second-order elliptic equations.

This class replaced the one which should have been given on 08/04/2010 and which was cancelled because the professor was on service abroad.

Sobolev Spaces

8 junho 2010, 17:30 • Pedro Alves Martins da Silva Girão

Evans p. 290, exercises 7, 9, 15, 18.

Fredholm Alternative

8 junho 2010, 16:00 • Pedro Alves Martins da Silva Girão

Proof of the Fredholm alternative.

Sobolev spaces

1 junho 2010, 17:30 • Pedro Alves Martins da Silva Girão

Exercises about the space H^{-1}(\Omega).

Second-order elliptic equations

1 junho 2010, 16:00 • Pedro Alves Martins da Silva Girão

Characterization of the Sobolev spaces H^k(\R^n) using the Fourier Transform.

Characterizations of the space H^{-1}(\Omega).

Characterization of the Sobolev space H^{-1}(\R^n) using the Fourier Transform.