Non-uniformly parabolic equations and applications to the random conductance model

We study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on Z d . In particular, we provide an oscillation decay assuming only certain summability properties of the conductances and their inverse, t...

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Bibliographic Details
Published in:	Probability theory and related fields Vol. 182; no. 1-2; pp. 353 - 397
Main Authors:	Bella, Peter, Schäffner, Mathias
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022 Springer Nature B.V
Subjects:	Divergence Economics Finance Finite difference method Finite differences Inequality Insurance Management Mathematical and Computational Biology Mathematical and Computational Physics Mathematics Mathematics and Statistics Operations Research/Decision Theory Operators (mathematics) Probability Probability Theory and Stochastic Processes Quantitative Finance Random walk Statistics for Business Theorems Theoretical 35B65 60K37 60F17 35K65
ISSN:	0178-8051, 1432-2064
Online Access:	Get full text
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