TY - JOUR T1 - On a Nonlinear Heat Equation with Degeneracy on the Boundary AU - Zhan , Huashui JO - Journal of Partial Differential Equations VL - 1 SP - 20 EP - 32 PY - 2019 DA - 2019/04 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n1.2 UR - https://global-sci.org/intro/article_detail/jpde/13120.html KW - Nonlinear heat equation KW - weak solution KW - stability, initial value. AB -

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.