Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term

Abstract

This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term. A blow-up theorem of Fujita type is established and the critical Fujita exponent is formulated by the spacial dimension and the behavior of the coefficient of the gradient term at infinity.

Keywords

• Critical Fujita exponent
• degenerate
• quasilinear
• gradient term