Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589720 | Journal of Functional Analysis | 2016 | 28 Pages |
Abstract
We introduce anchored versions of the Nash inequality. They allow to control the L2L2 norm of a function by Dirichlet forms that are not uniformly elliptic. We then use them to provide heat kernel upper bounds for diffusions in degenerate static and dynamic random environments. As an example, we apply our results to the case of a random walk with degenerate jump rates that depend on an underlying exclusion process at equilibrium.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jean-Christophe Mourrat, Felix Otto,