Partial differential equations : Poisson and Laplace equations [ LMAT2130 ]
5.0 crédits ECTS
30.0 h + 30.0 h
1q
| Teacher(s) |
Van Schaftingen Jean ;
Ponce Augusto ;
|
| Language |
French
|
Place
of the course |
Louvain-la-Neuve
|
| Main themes |
The main topics are : fundamental solutions and Green functions, harmonic and subharmonic functions, the Dirichlet principle, decomposition of L2 in eigenfunctions of the Laplace operator, Hilbert space methods, maximum principle, regularity of weak solutions and removable singularities.
|
| Aims |
The student will have to master elementary facts about the Laplace and Poisson equations, in particular explicit construction of solutions as well as qualitative properties in connection with the maximum principle.
|
| Other information |
Precursorycourses Functional Analysis/Complex Analysis/ Analysis III
Evaluation Examination
Support Dautray-Lions, "L'opérateur de Laplace", is a thorough treatment of the subject
Teaching team Exercises
|
Cycle et année
d'étude |
> Master [120] in Mathematics
> Master [60] in Mathematics
> Master [120] in Physics
|
Faculty or entity
in charge |
> MATH
|
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