A priori estimates and Liouville-type theorems for the semilinear parabolic equations involving the nonlinear gradient source

Wenguo Liang, Zhengce Zhang

This paper is concerned with the local and global properties of nonnegative solutions for semilinear heat equation $u_t-\hat{I}”u=u^p+M|\nabla u{|}^q$ in $\hat{I}\text{c◯}\times I\subset {\mathbb{R}}^N\times \mathbb{R}$,…