Widder's Representation Theorem for Symmetric Local Dirichlet Spaces

被引：8

作者：

Eldredge, Nathaniel ^{[1
]}

Saloff-Coste, Laurent ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2014年 / 27卷 / 04期

基金：

美国国家科学基金会;

关键词：

Widder's theorem; Dirichlet space; Dirichlet form; Harnack inequality; Parabolic equation; Non-negative solution; HEAT KERNEL; BROWNIAN-MOTION; PARABOLIC EQUATIONS; UNIQUENESS; FORMS;

D O I：

10.1007/s10959-013-0484-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In classical PDE theory, Widder's theorem gives a representation for non-negative solutions of the heat equation on R-n. We show that an analogous theorem holds for local weak solutions of the canonical "heat equation" on a symmetric local Dirichlet space satisfying a local parabolic Harnack inequality.

引用

页码：1178 / 1212

页数：35

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