Long-time behavior of stochastic reaction–diffusion equation with multiplicative noise
Advances in Difference Equations(2020)
摘要
In this paper, we study the dynamical behavior of the solution for the stochastic reaction–diffusion equation with the nonlinearity satisfying the polynomial growth of arbitrary order p≥2 and any space dimension N . Based on the inductive principle, the higher-order integrability of the difference of the solutions near the initial data is established, and then the (norm-to-norm) continuity of solutions with respect to the initial data in H_0^1(U) is first obtained. As an application, we show the existence of (L^2(U),L^p(U)) and (L^2(U),H_0^1(U)) -pullback random attractors, respectively.
更多查看译文
关键词
Stochastic reaction–diffusion equation, Higher-order integrability, Pullback random attractor, Norm-to-norm continuity
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要