Titel: valued time-periodic localized standing waves for a class of semilinear wave equations
Startdatum: 22 Januar
Startzeit: 17:15
Stoppzeit: 18:30Uhr
Herr Prof. Dr. Wolfgang Reichel, Universität Karlsruhe 
Ort: Seminarraum 1403

In this talk I will report about joint work with A. Hirsch (KIT). We give a variational existence proof for time-periodic standing waves of a 1+1 dimensional semilinear wave equation with periodic potentials. Theses waves are localized in the unbounded spatial direction. Using Fourier decomposition in time we can solve the resulting variational problem via constrained minimization. It appears that the admissible growth of the nonlinearity is limited by a Sobolev-exponent introduced via the regularity of the potential.