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

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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

Keywords:

Blowup;Quasilinear wave equation;Finite time
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Blow-up of Solutions of a Quasilinear Wave Equation with Nonlinear Dissipation. (2002). Journal of Partial Differential Equations, 15(3), 61-67. https://www.global-sci.com/index.php/jpde/article/view/3996