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.
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页码：151 / 174
页数：24
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