Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments

Abstract : We introduce anchored versions of the Nash inequality. They allow to control the L 2 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [40 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01401897
Contributor : Jean-Christophe Mourrat <>
Submitted on : Wednesday, November 23, 2016 - 10:39:49 PM
Last modification on : Monday, August 20, 2018 - 9:46:01 AM
Long-term archiving on : Tuesday, March 21, 2017 - 6:44:17 AM

Files

Nash.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Jean-Christophe Mourrat, Felix Otto. Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Journal of Functional Analysis, Elsevier, 2016, 270, pp.201 - 228. ⟨10.1016/j.jfa.2015.09.020⟩. ⟨ensl-01401897⟩

Share

Metrics

Record views

76

Files downloads

119