Modul

The module will be completed with an oral exam of about 30 minutes.

The students can prove and apply basic properties of solutions of the wave equation in interior or exterior domains. They know about representation theorems for such solutions and can apply the Fourier-Laplace-transform to analyze causal solutions. Students master the existence and uniqueness theory of associated boundary value problems using integral equations and retarded single and double layer potentials including proofs. Furthermore, the students can apply these results to scattering problems and explain the depence of scattered waves on the scattering object as well as the relationship with its far field pattern.

None

• Wave equations and elementary solutions
• Representation theorems
• Fourier-Laplace-transform
• Boundary element formulations of boundary value problems for the wave equation
• Existence and uniqueness of solutions to interior and exterior boundary value problems
• Scattering problems and far field patterns

The modules Functional Analysis and/or Integral Equations are recommended.

Total workload: 180 hours

Attendance: 60 h

Self studies: 120 h