Gaussian bounds for degenerate parabolic equations
Copyright policy ) David Cruz-Uribe; Cristian Rios;
Gaussian bounds for degenerate parabolic equations
AbstractLet A be a real symmetric, degenerate elliptic matrix whose degeneracy is controlled by a weight w in the A2 or QC class. We show that there is a heat kernel Wt(x,y) associated to the parabolic equation wut=divA∇u, and Wt 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.
- Trinity College United States
- University of Calgary Canada
- Trinity Baptist College United States
Kernel, Gaussian bounds, Degenerate parabolic, Degenerate elliptic, Analysis
Kernel, Gaussian bounds, Degenerate parabolic, Degenerate elliptic, Analysis
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 23
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