Lineare und nichtlineare hyperbolische Probleme

Description

Es werden die lokale und globale Existenz von Lösungen sowie die Asymptotik von Lösungen linearer oder nichtlinearer hyperbolischer
Gleichungen untersucht.

We investigate the local resp. global existente of solutions and the asymptotic behavior of solutions to linear or nonlinear hyperbolic equations.

Institutions
  • FB Mathematik und Statistik
Publications
  Lesky, Peter H.; Racke, Reinhard (2001): Nonlinear wave equations in infinite waveguides (Konstanzer Schriften in Mathematik und Informatik; 160)

Nonlinear wave equations in infinite waveguides

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We present sharp decay rates as time tends to infinity for solutions to linear Klein-Gordon and wave equations in domains with infinite boundaries like infinite waveguides, as well as the global well-posedness and the asymptotics for small data for the solutions to the associated nonlinear initial-boundary value problems.

Origin (projects)

Funding sources
Name Project no. Description Period
Sonstige546/95no information
Further information
Period: since