Blow-up solutions of the stochastic nonlocal heat equations

被引：9

作者：

Wang, Xiaohuan ^{[1
]}

机构：

[1] Henan Univ, Sch Math & Stat, Kaifeng 475001, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2019年 / 19卷 / 02期

关键词：

Blow-up; stochastic nonlocal heat equations; finite time singularity; WELL-POSEDNESS; TRANSPORT; APPROXIMATION; IMPACTS; NOISE;

D O I：

10.1142/S021949371950014X

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper is concerned with the blow-up phenomenon of stochastic nonlocal heat equations. We first establish the sufficient condition to ensure that the stochastic nonlocal heat equations have a unique non-negative solution. Then the problem of blow-up solutions in finite time is considered.

引用

页数：12

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