TY - JOUR T1 - Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation AU - Zhan , Huashui AU - Feng , Zhaosheng JO - Analysis in Theory and Applications VL - 3 SP - 297 EP - 321 PY - 2022 DA - 2022/07 SN - 38 DO - http://doi.org/10.4208/ata.OA-2021-0029 UR - https://global-sci.org/intro/article_detail/ata/20803.html KW - Definite condition, stability, general characteristic function method, weak solution, Laplacian equation. AB -

For the nonlinear degenerate parabolic equations, how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem. In this paper, we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition.