Probabilistic Approaches to Partial Differential Equations with Large Random Potentials

The thesis is devoted to an analysis of the heat equation with large random potentials in high dimensions. The size of the potential is chosen so that the large, highly oscillatory, random field is producing non-trivial effects in the asymptotic limit. We prove either homogenization, i.e., the rand...

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Bibliographic Details
Main Author: Gu, Yu
Language:English
Published: 2014
Subjects:
Online Access:https://doi.org/10.7916/D82R3PTD