A blow-up result for a nonlinear damped wave equation in exterior domain: The critical case

We consider the initial boundary value problem of the nonlinear damped wave equation in an exterior domain Ω. We prove a blow-up result which generalizes the result of non-existence of global solutions of Ogawa and Takeda (2009). We also show that the critical exponent belongs to the blow-up case.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2017-06, Vol.73 (11), p.2415-2420
Main Authors: Fino, A.Z., Ibrahim, H., Wehbe, A.
Format: Article
Language:English
Subjects:
Blow-up
Boundary value problems
Critical exponent
Nonlinear damped wave equation
Nonlinear equations
Studies
Wave equations
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Summary:We consider the initial boundary value problem of the nonlinear damped wave equation in an exterior domain Ω. We prove a blow-up result which generalizes the result of non-existence of global solutions of Ogawa and Takeda (2009). We also show that the critical exponent belongs to the blow-up case.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2017.03.030