加权Sobolev空间非线性退化抛物型问题的Rothe时间离散熵解

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-29 DOI:10.5269/bspm.63558

Abdelali Sabri, A. Jamea

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摘要

本文证明了一类具有Dirichlet型边界条件和L1数据的非线性退化抛物型问题的熵解的存在唯一性结果。这里使用的主要工具是Rothe的时间离散化方法与加权Sobolev空间理论相结合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach

In this paper, we prove the existence and uniqueness results of an entropy solution to a class of nonlinear degenerate parabolic problem with Dirichlet-type boundary condition and L1 data. The main tool used here is the Rothe's time-discretization approach combined with the theory of weighted Sobolev spaces.

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