Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms

Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms

In this paper, we study the Cauchy problem for a nonlinear wave equation with frictional and viscoelastic damping terms. Our aim is to obtain the threshold, to classify the global existence of solutions for small initial data or the finite time blow-up of solutions, under the growth condition of the...

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Veröffentlicht in:Nonlinear analysis 2017-01, Vol.148, p.228-253
Hauptverfasser: Ikehata, Ryo, Takeda, Hiroshi
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic profile
Cauchy problems
Critical exponent
Damping
Frictional damping
Laplace transforms
Nonlinear equations
Nonlinear wave equation
The Cauchy problem
Viscoelastic damping
Viscoelasticity
Wave equations
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Zusammenfassung:In this paper, we study the Cauchy problem for a nonlinear wave equation with frictional and viscoelastic damping terms. Our aim is to obtain the threshold, to classify the global existence of solutions for small initial data or the finite time blow-up of solutions, under the growth condition of the nonlinearity.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2016.10.008