PDE Analysis

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Keywords

PDE Analysis

Objectives

GIve basic tools for PDE analysis.

Recommended prerequisite

Sobolev spaces

Number of hours

  • CM : 33
  • TD : 15

Form of assessment

First session

Second session

Final examination: 100%

Final examination length: 3 hours

Remedial Examination: 100 %

Remedial Examination length: 3 hours

 

Syllabus

1- Elliptic PDE: elliptic regularity, variational methods, upper and under solutions

2- Parabolic PDE: Vectorial distributions, Aubin SImon lemma, Galerkin method, regularizing effects

3- Hyperbolic PDE: Characteristic method, examples

References :

L.C. Evans, Partial Differential Equations : Second Edition, Graduate Series in Mathematics, Vol 19.R (2010)

R. Dautray et J. L. Lions, Analyse mathématique et Calcul numérique, Masson (1997)

 

In brief

ECTS credits 5

Number of hours 48

Level of study Master degree level

Contact(s)

Organizational unit

Administrative contact(s)

Secrétariat de Mathématiques - Brigitte GAUBERT

Email : brigitte.gaubert @ univ-pau.fr

Places

  • Pau