Analysis of EDP 1

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

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

Have completed undergraduate-level courses in measure theory, integration, and Fourier analysis;

Recommended Prerequisites: This course will draw on concepts covered in the first- and second-year courses at the University of Montpellier on measure theory, integration, and Fourier analysis of levels. The two third-year courses, “Topology of Metric Spaces” and “Measure, Integration, and Fourier Analysis,” are also recommended.

The following is a sample course schedule.

• Further Topics in Measure Theory (Loc Spaces)
• Study of the Convolution Product 
• Concepts in Distribution Theory 
• Tempered distributions and the Fourier transform.
• Sobolev spaces over L2.

Hourly volumes:

            CM: 9:00 p.m.

            TD: 9:00 p.m.

            TP: 0

            Land: 0