Nonlinear Partial Diffential Equations - Einzelansicht

With the help of partial differential equations, a variety of processes from the natural sciences and even economics can be described. In realistic modelling, the differential equations are usually non-linear. Unlike linear partial differential equations, non-linear partial differential equations cannot be classified in a simple way. Therefore, many different special techniques are necessary to study the well-posedness of boundary value and initial boundary value problems and the qualitative behaviour of their solutions. In this lecture, typical strategies for semilinear and quasi-linear equations are presented.

To participate, please enroll in the Learnweb course available under https://www.uni-muenster.de/LearnWeb/learnweb2/course/view.php?id=60367

Good knowledge in analysis (for ODEs or PDEs). Some basic course on PDEs is desirable, but the lecture will recap the basic facts on linear PDEs.

Successful exercises and (oral) exam.

This lecture is targeted at MSc Mathematik (PO 13 und PO 20) as part I or part II in the specialization Applied Analysis.