Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592756 | Journal of Functional Analysis | 2008 | 30 Pages |
Abstract
Let A be a real symmetric, degenerate elliptic matrix whose degeneracy is controlled by a weight w in the A2A2 or QC class. We show that there is a heat kernel Wt(x,y)Wt(x,y) associated to the parabolic equation wut=divA∇uwut=divA∇u, and WtWt satisfies classic Gaussian bounds:|Wt(x,y)|⩽C1tn/2exp(−C2|x−y|2t). We then use this bound to derive a number of other properties of the kernel.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
D. Cruz-Uribe, Cristian Rios,