Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Cerrai, Sandra¹  Lunardi, Alessandra² 

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci,53-A, I-43124 Parma, Italy

关键词: Infinite dimensional analysis;    Schauder estimates;   

DOI  :  10.1016/j.jde.2019.08.005

来源: Elsevier

【 摘 要 】

We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gaussian measure. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free