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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2005 Volume 46, Number 3, Pages 567–578 (Mi smj988)

This article is cited in 6 papers

On blowup of a solution to a Sobolev-type equation with a nonlocal source

M. O. Korpusov, A. G. Sveshnikov

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

Abstract: We consider the initial-boundary value problem for a dissipative nonlinear wave equation of the Sobolev type with a nonlocal cubic source. For this problem we obtain a sufficient condition for blowup of a strong generalized solution. Moreover, we obtain a two-sided estimate for the blowup time of the solution.

Keywords: pseudoparabolic equation, blowup, double nonlinearity, nonlocal nonlinearity.

UDC: 517.957

Received: 29.10.2004


 English version:
Siberian Mathematical Journal, 2005, 46:3, 443–452

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