Gaussian bounds for degenerate parabolic equations

被引：24

作者：

Cruz-Uribe, D. ^{[1
]}

Rios, Cristian ^{[2
]}

机构：

[1] Trinity Coll, Dept Math, Hartford, CT 06106 USA

[2] Univ Calgary, Calgary, AB T2N 1N4, Canada

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 02期

关键词：

kernel; Gaussian bounds; degenerate elliptic; degenerate parabolic;

D O I：

10.1016/j.jfa.2008.01.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a real symmetric, degenerate elliptic matrix whose degeneracy is controlled by a weight w in the A(2) or QC class. We show that there is a heat kernel W-t (x, v) associated to the parabolic equation wu(t) = divA del u, and W-t satisfies classic Gaussian bounds: [GRAPHICS] We then use this bound to derive a number of other properties of the kernel. (c) 2008 Published by Elsevier Inc.

引用

页码：283 / 312

页数：30

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