The Dynamics Of Nonlinear Reactiondiffusion Equations With Small Lvy Noise - Info and Reading Options
By Peter Imkeller
"The Dynamics Of Nonlinear Reactiondiffusion Equations With Small Lvy Noise" was published by Springer International Publishing AG in 2013, it has 163 pages and the language of the book is English.
“The Dynamics Of Nonlinear Reactiondiffusion Equations With Small Lvy Noise” Metadata:
- Title: ➤ The Dynamics Of Nonlinear Reactiondiffusion Equations With Small Lvy Noise
- Author: Peter Imkeller
- Language: English
- Number of Pages: 163
- Publisher: ➤ Springer International Publishing AG
- Publish Date: 2013
“The Dynamics Of Nonlinear Reactiondiffusion Equations With Small Lvy Noise” Subjects and Themes:
- Subjects: ➤ Differential equations, partial - Stochastic partial differential equations - Lévy processes
Edition Identifiers:
- The Open Library ID: OL26035233M - OL17450787W
- Online Computer Library Center (OCLC) ID: 863954920 - 842364126
- Library of Congress Control Number (LCCN): 2013944220
- ISBN-13: 9783319008271
- All ISBNs: 9783319008271
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"The Dynamics Of Nonlinear Reactiondiffusion Equations With Small Lvy Noise" Description:
The Open Library:
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.
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