Asymptotics for fractional reaction diffusion equations in periodic media

被引：0

作者：

Wei, Yu ^{[1
]}

Wang, Yahan ^{[1
]}

Lu, Huiqin ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 02期

关键词：

generalized fractional Laplacian; convolution; semigroup theory; asymptotics; PROPAGATION;

D O I：

10.3934/math.2025177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Cauchy problem for a class of reaction diffusion equations are considered with nonlocal interactions in periodic media. First, we demonstrate the existence and uniqueness of solutions that are both positive and bounded for the stationary equation. Second, we derive results concerning the existence and uniqueness of solutions for the Cauchy problem by using the semigroup theory. Finally, we analyze the behavior of the solutions to the Cauchy problem for large times by using the comparison principle.

引用

页码：3819 / 3835

页数：17

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