摘要
This article establishes the precise asymptotics Eu^m(t, x)(t → ∞ or m → ∞) for the stochastic heat equation ?u/?t(t, x) =1/2?u(t, x) + u(t, x)(t, x)?W/?t(t, x) with the time-derivative Gaussian noise W?/?t(t, x) that is fractional in time and homogeneous in space.
This article establishes the precise asymptoticsEum(t, x)(i →∞ or m →∞)for the stochastic heat equation■u/■t(t,x)=1/2△u(t,x)+u(t,x)■w/■t(t,x)with the time-derivative Gaussian noise ■u/■t(t,x)that is fractional in time and homogeneous in space.
作者
Heyu LI
Xia CHEN
李贺宇;陈夏(School of Mathematics,Jilin University,Changchun 130012,China;Department of Mathematics,University of Tennessee,Knoxville TN 37996,USA)
基金
Research partially supported by the “1000 Talents Plan” from Jilin University,Jilin Province and Chinese Government
by the Simons Foundation(244767)
