TY - JOUR
T1 - Regularities for semilinear stochastic partial differential equations
AU - Zhang, Xicheng
PY - 2007/8/15
Y1 - 2007/8/15
N2 - In this paper, we study the regularities of solutions to semilinear stochastic partial differential equations in general settings, and prove that the solution can be smooth arbitrarily when the data is sufficiently regular. As applications, we also study several classes of semilinear stochastic partial differential equations on abstract Wiener space, complete Riemannian manifold as well as bounded domain in Euclidean space.
AB - In this paper, we study the regularities of solutions to semilinear stochastic partial differential equations in general settings, and prove that the solution can be smooth arbitrarily when the data is sufficiently regular. As applications, we also study several classes of semilinear stochastic partial differential equations on abstract Wiener space, complete Riemannian manifold as well as bounded domain in Euclidean space.
KW - Nonlinear interpolation
KW - Regularity
KW - Stochastic partial differential equation
UR - http://www.scopus.com/inward/record.url?scp=34250644049&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2007.03.018
DO - 10.1016/j.jfa.2007.03.018
M3 - Article
AN - SCOPUS:34250644049
SN - 0022-1236
VL - 249
SP - 454
EP - 476
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -