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
收藏
页码：255 / 277
页数：22
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