Determination of the blow-up rate for the semilinear wave equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2003 France English Publisher:Project MUSEJournal:American Journal of Mathematics, volume 125, pages 1,147-1,164 (eissn: 1080-6377,

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Authors: Merle, Franck; Hatem, Zaag;

doi: 10.1353/ajm.2003.0033

Determination of the blow-up rate for the semilinear wave equation

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Abstract

In this paper, we find the optimal blow-up rate for the semilinear wave equation with a power nonlinearity. The exponent p is superlinear and less than 1 + 4/ N -1 if N ≥ 2.

Country

France

Related Organizations

CY Cergy Paris University
France
French National Centre for Scientific Research
France
Analyse, Géométrie et Modélisation
France

Keywords

power nonlinearity, Asymptotic behavior of solutions to PDEs, Second-order nonlinear hyperbolic equations

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