@Article{ATA-38-297, author = {Zhan , Huashui and Feng , Zhaosheng}, title = {Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation}, journal = {Analysis in Theory and Applications}, year = {2022}, volume = {38}, number = {3}, pages = {297--321}, abstract = {

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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0029}, url = {http://global-sci.org/intro/article_detail/ata/20803.html} }