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Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients
Stochastics and Partial Differential Equations: Analysis and Computations ( IF 1.4 ) Pub Date : 2021-06-09 , DOI: 10.1007/s40072-021-00199-6 Shohei Nakajima
中文翻译:
具有分数拉普拉斯和非利普希茨系数的 SPDE 弱解的存在
更新日期:2021-06-09
Stochastics and Partial Differential Equations: Analysis and Computations ( IF 1.4 ) Pub Date : 2021-06-09 , DOI: 10.1007/s40072-021-00199-6 Shohei Nakajima
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.
中文翻译:
具有分数拉普拉斯和非利普希茨系数的 SPDE 弱解的存在
我们证明了具有分数拉普拉斯和非利普希茨系数的一维随机偏微分方程的解的存在性及其性质。证明方法由 Kolmogorov 的连续性定理和紧密性论证构成。