Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients

被引：0

作者：

Shohei Nakajima

机构：

[1] Waseda University,Department of Applied Mathmatics

来源：

Stochastics and Partial Differential Equations: Analysis and Computations | 2022年 / 10卷

关键词：

Fractional Laplacian; Non-Lipschitz coefficients; Polynomial decay;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.

引用

页码：255 / 277

页数：22

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