Non-uniformly parabolic equations and applications to the random conductance model
Keyword(s):
AbstractWe study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on $$\mathbb Z^d$$ Z d . 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.
2021 ◽
Vol 179
(3-4)
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pp. 1145-1181
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2016 ◽
Vol 32
(2)
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pp. 327-332
1981 ◽
Vol 57
(10)
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pp. 473-476
2006 ◽
Vol 50
(3)
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pp. 400-419
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2015 ◽
Vol 164
(3-4)
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pp. 741-770
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