Weak convergence approach for parabolic equations with large, highly oscillatory, random potential

DOI10.1214/14-AIHP637zbMath1343.35019arXiv1304.5005OpenAlexW1504998298MaRDI QIDQ5963218

Yu Gu, Guillaume Bal

Publication date: 4 March 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5005

zbMATH Keywords

Feynman-Kac formulaweak convergence methodsBrownian motion in random scenerylarge oscillatory potential

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Martingales with continuous parameter (60G44) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic equations (35K10)

Related Items (5)

Resonances for random highly oscillatory potentials ⋮ Homogenization of a spherical harmonics expansion model ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Rough flows and homogenization in stochastic turbulence ⋮ Defect modes for dislocated periodic media

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