A Schauder estimate for stochastic PDEs

Authors

Kai Du, University of WollongongFollow
Jiakun Liu, University of WollongongFollow

RIS ID

103181

Publication Details

Du, K. & Liu, J. (2016). A Schauder estimate for stochastic PDEs. Comptes Rendus Mathematique (Academie des Sciences), 354 (4), 371-375.

Abstract

Considering stochastic partial differential equations of parabolic type with random coefficients in vector-valued Hölder spaces, we establish a sharp Schauder theory. The existence and uniqueness of solutions to the Cauchy problem is obtained.

Grant Number

ARC/DE140101366

Additional Grant Number

http://purl.org/au-research/grants/ARC/DE140101366