具有奇异临界指数非线性的基尔霍夫型抛物线问题的渐近论

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-04-21 DOI:10.1002/mana.202200319

Tahir Boudjeriou

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引用次数: 0

摘要

本文的主要目的是根据以下一类抛物线基尔霍夫方程的解的渐近行为来描述稳定集的特征：其中是具有 Lipschitz 边界的有界域，，，，，，，是分数拉普拉斯算子，。

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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Asymptotics for a parabolic problem of Kirchhoff type with singular critical exponential nonlinearity

The main objective of this paper is to characterize stable sets based on the asymptotic behavior of solutions as $t$ goes to infinity for the following class of parabolic Kirchhoff equations:

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index