Moment bounds for some fractional stochastic heat equations on the ball

Electronic Communications in Probability

Eulalia Nualart¹ 

关键词: Stochastic heat equation;    fractional Laplacian;    Dirichlet boundary conditions;    heat kernel estimates;   

DOI  :  10.1214/18-ECP147

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

In this paper, we obtain upper and lower bounds for the moments of the solution to a class of fractional stochastic heat equations on the ball driven by a Gaussian noise which is white in time and has a spatial correlation in space of Riesz kernel type. We also consider the space-time white noise case on an interval.

【 授权许可】

CC BY