Blow-up of Solutions of a Quasilinear Wave Equation with Nonlinear Dissipation

Blow-up of Solutions of a Quasilinear Wave Equation with Nonlinear Dissipation

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 3 : pp. 61–67

Abstract

In this paper we establish the blow up of solutions to the quasilinear wave equation with a nonlinear dissipative term u_{tt} - M(||A^{1/2}u||²_2)Au + |ut|^βu_t = |u|^pu x ∈ Ω, t > 0

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5455

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 3 : pp. 61–67

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    Blowup