This article is cited in 8 papers

On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy

M. O. Korpusov

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

Abstract: We examine an initial-boundary value problem for a generalized Kirchhoff type dissipative wave equation with a source. It is proven that, for a sufficiently large positive energy, some finite time blowup occurs which fact is proven by the modified Levin method.

Keywords: finite time blowup, generalized Klein–Gordon equation, nonlinear hyperbolic equation, nonlinear mixed boundary value problem, field theory.

UDC: 517.957

Received: 11.07.2011

 English version: Siberian Mathematical Journal, 2012, 53:4, 702–717

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