SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Open Badges 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

For all author emails, please log on.

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

Published: 19 August 2011


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.

degenerate parabolic system; global existence; blow-up