The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method deve...

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Bibliographic Details
Main Authors: Debussche, Arnaud. (Author, http://id.loc.gov/vocabulary/relators/aut), Högele, Michael. (http://id.loc.gov/vocabulary/relators/aut), Imkeller, Peter. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Lecture Notes in Mathematics, 2085
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-00828-8
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