Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations

In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, utt−Luxx=B(−|u|p−1u)xx,(p>1), where the nonlocality enters through two pseudo-differential operators L and B. We establish thresholds for g...

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Veröffentlicht in:	Nonlinear analysis 2014-01, Vol.95, p.313-322
Hauptverfasser:	Erbay, H.A., Erbay, S., Erkip, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up Boussinesq equation Double dispersion equation Global existence Mathematical analysis Nonlocal Cauchy problem Potential well
Online-Zugang:	Volltext
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