UCL - Functional analysis and partial differential equations

[MAT1321]

[45h + 45h] 8 credits

This course is taught in the 1st semester.

Teacher(s): Michel Willem

Language: French

Level: First

Aims
Main themes
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

Aims

The course of functional analysis covers fundamental properties of functional spaces and the use of these spaces to solve elliptic problems. The student will have to master the general tools of functional analysis and their concrete applications.

Main themes

Banach spaces, Hilbert spaces, Lebesgue spaces, Sobolev spaces, dual spaces, elliptic problems.

Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

Prerequisite : MAT 1221: Mathematical analysis 3