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

Language: English

Published by Springer, Springer Okt 2013, 2013

3319008277 / 9783319008271

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This item is printed on demand - Print on Demand Titel. Neuware -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 developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 180 pp. Englisch.

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Title
The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise
Author
Arnaud Debussche
Publisher
Springer, Springer Okt 2013
Publication year
2013
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319008277
ISBN 13
9783319008271
Item weight
283 grams
Dimensions
235x155x11 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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