A comparison result for elliptic equations in the infinite dimensional Gauss space

被引：3
作者：
Feo, F. [1 ]
机构：
[1] Univ Napoli Parthenope, Dipartimento Tecnol, Ctr Direz, I-80143 Naples, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 07期
关键词：
Gauss measure; Elliptic equation; Wiener space; Rearrangement; Isoperimetric inequality; Logarithmic Sobolev inequality; PARABOLIC EQUATIONS; SYMMETRIZATION; REGULARITY;
D O I：
10.1016/j.na.2010.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain a comparison result for a class of Dirichlet problems for the operator -div(gamma) (A(x) del w) in an infinite dimensional separable Hilbert space X with the Gauss measure gamma and a suitable differentiable structure. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2298 / 2309
页数：12
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