This article is cited in 2 papers

Solution blowup for the heat equation with double nonlinearity

M. O. Korpusov

Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider a model initial boundary value problem for the heat equation with double nonlinearity. We use a modified Levin method to prove the solution blowup.

Keywords: finite-time blowup, nonlinear heat conduction, nonlinear parabolic equation with double nonlinearity, nonlinear mixed boundary value problem.

Received: 23.12.2011

DOI: 10.4213/tmf6957

 English version: Theoretical and Mathematical Physics, 2012, 172:3, 1173–1176

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