A Study of Parabolic and Hyperbolic Anderson Models Driven by Fractional Brownian Sheet with Spatial Hurst Index in (0,1)

The goal of this thesis is to present a comprehensive study of the parabolic and hyperbolic Anderson models with constant initial condition, driven by a Gaussian noise which is fractional in space with index H > 1/2 or H < 1/2, and is either white in time, or fractional in time with index H_0...

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Bibliographic Details
Main Author: Ma, Yiping
Other Authors: Balan, Raluca Madalina
Format: Others
Language:en
Published: Université d'Ottawa / University of Ottawa 2020
Subjects:
Online Access:http://hdl.handle.net/10393/40721
http://dx.doi.org/10.20381/ruor-24949