On a Nonlinear Heat Equation with Degeneracy on the Boundary

作     者：ZHAN Huashui 

作者机构：School of Applied Mathematics Xiamen University of Technology Xiamen 361024 China. 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2019年第32卷第1期

页      面：20-32页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Natural Science Foundation of Fujian Province supported by Science Foundation of Xiamen University of Technology China 

主　　题：Nonlinear heat equation weak solution stability, initial value. 

摘      要：The paper studies the stability of weak solutions of a nonlinear heat equation with degenerate on the boundary. A new kind of weak solutions are introduced. By the new weak solution, the stability of weak solutions is proved only dependent on the initial value.