Year: 2005
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 327–340
Abstract
This paper investigates the qualitative properties of solutions to certain quasilinear parabolic equations. Under appropriate conditions, we obtain that the solution either exists globally or blows up in finite time by making use of the energy method and subsolution techniques. We find out that the behavior of solution heavily depends on the sign and the growth rate of the nonlinear reaction term and the nonlinear flux through boundary at infinity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JPDE-5368
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 327–340
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Quasilinear parabolic equation