Impacts of Noise on A Class of Partial Differential Equations

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：liangxiaolong43

【摘要】

：

　　This paper is concerned with effects of noise on the solutions of partial differential equations.We first provide a sufficient condition to ensure the exist

【作者】

：

LuGuangying;

【机构】

：

Henan Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　This paper is concerned with effects of noise on the solutions of partial differential equations.We first provide a sufficient condition to ensure the existence of a unique positive solution for a class of stochastic partial differential equations.Then,we prove that noise could induce singularities(finite time blow up of solutions).Finally,we show that a stochastic Allen-Cahn equation does not have finite time singularities and the unique solution exists globally.

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Impacts of Noise on A Class of Partial Differential Equations

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