Analytic semigroups and degenerate elliptic operators with unbounded coefficients: A probabilistic approach

被引：3

作者：

Cerrai, S ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat Decis, I-50134 Florence, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年 / 166卷 / 01期

关键词：

D O I：

10.1006/jdeq.2000.3788

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having unbounded coefficients generates analytic semigroups in C-b(R-d), the space of uniformly continuous and bounded functions from R-d into R. (C) 2000 Academic Press.

引用

页码：151 / 174

页数：24

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