Analysis of EDPs 1

The construction of solutions to partial differential equations (PDEs) and the theoretical study of their qualitative behavior is essentially based on the use of analytical results, particularly functional analysis. This course presents important initial tools for solving PDEs from analytical or geometric perspectives. These tools will be applied in the study of several examples of PDEs representative of large classes of equations.

Introduce the basic tools for the theoretical study of classical linear PDEs in Rn.

Have taken undergraduate courses in measure theory, integration, and Fourier analysis;

Recommended prerequisites: The course will use concepts developed in the L1 and L2 courses at the University of Montpellier on measure theory, integration, and Fourier analysis of levels. The two L3 courses "Topology of Metric Spaces" and "Measure, Integration & Fourier" are also recommended.

An indicative course schedule is as follows.

• Complements to measure theory (loc spaces)
• Convolution Product Study 
• Notions on distribution theory 
• Temperate distributions and Fourier transform.
• Sobolev spaces modeled on L2.

Hourly volumes:

            CM: 9 p.m.

            TD: 9 p.m.

            TP: 0

            Land: 0