Veranstaltung

Oberseminar
Exponential Stability for Wave Equations with Indefinite (Non-Dissipative) Damping
Reinhard Racke
1.11.2005, 17:00 Uhr – 19:00 Uhr

We consider the non-linear wave equation $u_{tt}-\sigma(u_x)_x + a(x) u_t = 0$ , $x\in (0,L)$ , where the function a is allowed to change sign, but has to satisfy $\bar{a}=\frac{1}{L}\int_0^L a(x)dx > 0$ . New conditions are presented for this non-dissipative situation with indefinite damping term, under which the linearized system is exponentially stable, and the nonlinear system is globally well-posed in the small.

http://geometricanalysis.mi.fu-berlin.de/os/os-ws0506.htm

Einzeltermin von:

Oberseminar: Oberseminar Analysis, Geometrie und Physik (Wintersemester 2005/06)

Verknüpft mit:

Klaus Ecker
Gerhard Huisken
Reinhard Racke

Veranstaltungen 2005