



























We prove the existence and uniqueness of mild solution for the stochastic partial differential equation $$\left(\partial^α- \textit{B} \right) u(t,x)= u(t,x) \cdot \dot{W}(t,x),$$ where $$α\in (1/2, 1)\cup(1, 2);$$ $\textit{B}$ is an uniform elliptic operator with variable coefficients and $\dot W$ is a Gaussian noise general in time with space covariance given by fractional, Riesz and Bessel kernel.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。