Differential equations [ LINMA2345 ]
5.0 crédits ECTS
30.0 h + 22.5 h
2q
| Teacher(s) |
Van Schaftingen Jean (coordinator) ;
Ben-Naoum Abdou Kouider ;
|
| Language |
French
|
Place
of the course |
Louvain-la-Neuve
|
| Main themes |
Boundary value problems, periodical problems and some other topics selected by the students.
|
| Aims |
This course treats boundary value problems for linear and nonlinear systems as well as periodical problems.
|
| Content |
Hilbert spaces, Lp spaces and Sobolev spaces ;
Notion of strong solutions and weak solutions of boundary value problems ;
Variational methods ;
Spectral methods ;
Bifurcation theory.
The students will have the opportunity to go deeper into a topic of their choice and to present it to their colleagues.
|
| Other information |
Prerequisite : INMA 1315 "Mathematical analysis : complements"
Course materials : some chapters of the following books :
- Critical Point Theory and Hamiltonian Systems, J. Mawhin et M. Willem, Applied Mathematical Society, 74 Springer Verlag ;
- Analyse convexe et problèmes variationnels, I. Ekeland et R. Temmam, Dunod Gauthier-Villars, 1994 ;
- A. K. Ben-Naoum et C. Finet, Analyse mathématique, Résumé de cours et exercices corrigés: Espaces de Lebesgue, Espaces de Hilbert et Distributions. De Boeck Université 1999.
|
Cycle et année
d'étude |
> Master [120] in Mathematical Engineering
> Master [120] in Electro-mechanical Engineering
> Master [120] in Mathematics
> Master [60] in Mathematics
|
Faculty or entity
in charge |
> MAP
|
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