This article is cited in 5 papers

Solution blow-up for a class of parabolic equations with double nonlinearity

M. O. Korpusov

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

Abstract: We consider a class of parabolic-type equations with double nonlinearity and derive sufficient conditions for finite time blow-up of its solutions in a bounded domain under the homogeneous Dirichlet condition. To prove the solution blow-up we use a modification of Levine's method.
Bibliography: 13 titles.

Keywords: finite time blow-up of the solution, parabolic equation with double nonlinearity, nonlinear mixed boundary value problem.

UDC: 517.957

MSC: 35B60, 35K25

Received: 23.12.2011

DOI: 10.4213/sm8097

 English version: Sbornik: Mathematics, 2013, 204:3, 323–346

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