ON THE ORNSTEIN-UHLENBECK OPERATOR IN SPACES OF CONTINUOUS-FUNCTIONS

被引：118

作者：

DAPRATO, G ^{[1
]}

LUNARDI, A ^{[1
]}

机构：

[1] UNIV PARMA,DIPARTIMENTO MATEMAT,I-43100 PARMA,ITALY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 131卷 / 01期

关键词：

D O I：

10.1006/jfan.1995.1084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the realization of the Ornstein-Uhlenbeck operator A in the space of the uniformly continuous and bounded functions in R(n). We prove that it generates a semigroup which is neither strongly continuous nor analytic, but enjoys nice smoothing properties. Such properties are used to prove a Schauder-type theorem for the elliptic equation lambda u - Au = f. (C) 1995 Academic Press, Inc.

引用

页码：94 / 114

页数：21

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