Global existence and blowup of stochastic parabolic equations

被引：0

作者：

Li, Wei ^{[1
]}

Lv, Guangying ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2025年 / 66卷 / 01期

关键词：

REACTION-DIFFUSION EQUATIONS; WELL-POSEDNESS; HEAT-EQUATION; UP TIMES; NOISE; IMPACTS; NONEXISTENCE; EXPLOSION;

D O I：

10.1063/5.0222678

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the blowup phenomenon of stochastic parabolic equations both on bounded domain and in the whole space. We introduce a new method to study the blowup phenomenon on bounded domain. Compared with the existing results, we delete the assumption that the solutions to stochastic heat equations are nonnegative. Then the blowup phenomenon in the whole space is obtained by using the properties of heat kernel. We obtain that the solutions will blow up in finite time for nontrivial initial data.

引用

页数：17

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