Hidden Bibliographic Details
| ISBN: | 9783319008288
3319008285
9783319008271
3319008277
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| Digital file characteristics: | text file PDF
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| Notes: | Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed Oct. 7, 2013).
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| Summary: | 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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| Other form: | Printed edition: 9783319008271
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| Standard no.: | 10.1007/978-3-319-00828-8
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