Fast-Diffusion Limit for Reaction–Diffusion Equations with Degenerate Multiplicative and Additive Noise

被引：0
作者：
Wael W. Mohammed
机构：
[1] Ha’il University,Department of Mathematics, Faculty of Science
[2] Mansoura University,Department of Mathematics, Faculty of Science
来源：
Journal of Dynamics and Differential Equations | 2021年 / 33卷
关键词：
Reaction–diffusion equations; Fast diffusion limit; Additive noise; Multiplicative noise; 60H10; 60H15; 35R60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present work we consider a quite general class of reaction–diffusion equations forced by additive and multiplicative noise. When the diffusion is large, one can approximate the solutions of the stochastic reaction–diffusion equations with polynomial term by the solutions of a stochastic ordinary equations with additive noise. We illustrate our results by applying it to logistic equation and nonlinear heat equation.
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页码：577 / 592
页数：15
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