Anal. Theory Appl., 38 (2022), pp. 297-321.
Published online: 2022-07
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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} }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.