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

Abstract

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