Authors: Bella, Peter
Schäffner, Mathias
Title: Non-uniformly parabolic equations and applications to the random conductance model
Language (ISO): en
Abstract: We study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on Zd. In particular, we provide an oscillation decay assuming only certain summability properties of the conductances and their inverse, thus improving recent results in that direction. As an application, we provide a local limit theorem for the random walk in a random degenerate and unbounded environment.
Subject Headings: Processes in random environments
Functional limit theorems
Smoothness and regularity of solutions to PDEs
Degenerate parabolic equations
Issue Date: 2021-07-30
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Appears in Collections:Lehrstuhl I: Analysis

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