A scale of critical exponents for semilinear waves with time-dependent damping and mass terms

We consider the following Cauchy problem for a wave equation with time-dependent damping term  b(t)ut and mass term  m(t)2u, and a power nonlinearity |u|p: utt−Δu+b(t)ut+m2(t)u=|u|p,t≥0,x∈Rn,u(0,x)=f(x),ut(0,x)=g(x).We discuss how the interplay between an effective time-dependent damping term and a...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Nonlinear analysis 2019-02, Vol.179, p.15-40
Hauptverfasser:	D’Abbicco, M., Girardi, G., Reissig, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy problems Critical exponent Damped Klein–Gordon equation Damping Decay rate Effective damping Exponents Klein-Gordon equation Nonlinear equations Nonlinearity Scale models Time dependence Wave equation
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!