Sumários

15 Novembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques

Sobolev inequalities and embeddings of W^{1,p} spaces in L^q spaces.

The scaling argument.

Regularity: Hölder functions. Continuity of H^s (R^N) functions (using Fourier analysis).

14 Novembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques

Characterization of fractional Sobolev spaces H^s (R^N), by means of the Fourier transform.

12 Novembro 2019, 10:00 • Manuel Duque Pereira Monteiro Marques

Dense subspaces of W^{k,p}.

Sobolev spaces and Fourier transforms.

8 Novembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques

Distributional derivatives which are functions.

Sobolev spaces W^{k,p}: definitions, examples, norms, properties.

7 Novembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques

Tempered distributions: Fourier and inverse Fourier transforms, differentiation and

product with a smooth function.