Modul

The module will be completed by an oral exam (ca. 30 min).

Students can explain some basic types of nonlinear Maxwell equations and the physical significance of the variables that occur. They are able to prove and discuss local wellposedness theorems in the whole space using energy methods. They can derive Strichartz inequalities for linear Maxwell equations. With their help, they can show improved wellposedness results.

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• Maxwell equations with nonlinear material laws
• local wellposedness theory in the whole space using linearisation, apriori estimates and  regularisation
• Strichartz inequalities and improved wellposedness theory

The contents of the module "Functional Analysis" are strongly recommended.

Total workload: 240 hours

Attendance: 90 h

• lectures, problem classes and examination

Self studies: 150 h

• follow-up and deepening of the course content,
• work on problem sheets,
• literature study and internet research on the course content,
• preparation for the module examination