一些带吸收项的非线性奇异抛物问题的存在性和正则性结果

Monatshefte für Mathematik Pub Date : 2024-01-27 DOI:10.1007/s00605-023-01942-y

Mounim El Ouardy, Youssef El Hadfi, Abdelaaziz Sbai

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引用次数: 0

摘要

在本文中，我们证明了具有两个吸收项和一个奇异低阶项的非线性抛物线问题非负解的存在性。更确切地说，我们分析了两个吸收项和奇异项之间的相互作用，以获得最大可能数据类别的解。此外，我们还分析了吸收项对问题解及其梯度的正则性的影响。

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Existence and regularity results for some nonlinear singular parabolic problems with absorption terms

In this paper, we prove the existence of a nonnegative solution to nonlinear parabolic problems with two absorption terms and a singular lower order term. More precisely, we analyze the interaction between the two absorption terms and the singular term to get a solution for the largest possible class of the data. Also, the regularizing effect of absorption terms on the regularity of the solution of the problem and its gradient is analyzed.

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Monatshefte für Mathematik

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