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Differential equations [ LINMA2345 ]


5.0 crédits ECTS  30.0 h + 22.5 h   2q 

Teacher(s) Ben-Naoum Abdou Kouider ; Van Schaftingen Jean (coordinator) ;
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 Mathematics
> Master [60] in Mathematics
> Master [120] in Mathematical Engineering
> Master [120] in Electro-mechanical Engineering
Faculty or entity
in charge
> MAP


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