[1]许文彬.一类变指数退化抛物方程的解[J].集美大学学报(自然科学版),2021,26(6):0-0.
　XU Wenbin.Solutions of a Kind of Degenerate Parabolic Equation with Variable Exponent[J].Journal of Jimei University,2021,26(6):0-0.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

Title:: Solutions of a Kind of Degenerate Parabolic Equation with Variable Exponent

Author(s):: XU Wenbin; (School of ScienceJimei UniversityXiamen 361021China)

Keywords:: degenerate parabolic equation; existence; uniqueness; variable exponent

摘要:: 考虑如下的变指数退化抛物方程解的适定性问题。利用抛物正则化方法证明了解的存在性。对检验函数适当选取，证明了解的唯一性。在边界上，扩散系数b(x,t)=0，解的唯一性可以不依赖于边界条件。

Abstract:: The wellposedness problem of a kind of degenerate parabolic equation were considered.By a parabolically regularized method，the existence of weak solutions was proved.By choosing a suitable test function，the uniqueness of weak solution was also proved.The diffusion ，the uniqueness theory could be established which was independent of the boundary value condition.

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更新日期/Last Update: 2022-02-24