Open Access Research

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux

Si Xu* and Zifen Song

Author Affiliations

Department of Mathematics, Jiangxi Vocational College of Finance and Economics, Jiujiang, Jiangxi, 332000, PR China

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Boundary Value Problems 2011, 2011:15 doi:10.1186/1687-2770-2011-15

Published: 19 August 2011

Abstract

This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation. The critical Fujita type is conjectured with the aid of some new results.

Mathematics Subject Classification (2000). 35K55; 35K57.

Keywords:
degenerate parabolic system; global existence; blow-up