This article is cited in 6 papers

Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations

M. O. Korpusov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: We study the question of sufficient conditions for blow-up of solutions of a model initial-boundary value problem. We use a modified form of Levine's method to obtain sufficient conditions for blow-up in finite time.

Keywords: blow-up, non-linear Klein–Gordon equations, Sobolev-type equations.

UDC: 517.957

MSC: 35M13, 35B44

Received: 23.12.2011

DOI: 10.4213/im7947

 English version: Izvestiya: Mathematics, 2013, 77:2, 325–353

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