We study a symmetric diffusion X on ℝd in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients. We prove a quenched local central limit theorem for X, under some moment conditions on the environment; the key tool is a local parabolic Harnack inequality obtained with Moser iteration technique.
Local central limit theorem for diffusions in a degenerate and unbounded random medium
Chiarini A.;
2015
Abstract
We study a symmetric diffusion X on ℝd in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients. We prove a quenched local central limit theorem for X, under some moment conditions on the environment; the key tool is a local parabolic Harnack inequality obtained with Moser iteration technique.File in questo prodotto:
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