非标准生长非线性抛物型方程解的存在性与消光性。

IF 0.7 4区数学 Q2 MATHEMATICS Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-05-01 DOI:10.15672/hujms.1106985

R. Ayazoğlu, G. Alisoy, Sezgin Akbulut, Tuba AĞIRMAN AYDIN

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引用次数: 0

摘要

研究一类具有非标准非线性的p(⋅)-拉普拉斯抛物型方程在有界区域上的初边值问题。我们得到了小初始数据下解的整体存在性和衰减性以及参数λ上的一些合适条件。此外，导出了消光发生前解的精确衰减估计。

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Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity.

In this paper, we consider an initial boundary value problem for a class of p(⋅)-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. We obtain the global and decay of existence of the solutions for small initial data and for some suitable conditions on the parameter λ. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.