The dynamics of nonlinear reaction-diffusion equations with small Lévy noise / Arnaud Debussche, Michael Högele, Peter Imkeller
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 2085Langue : anglais.Éditeur : New York : Springer, cop. 2013ISBN: 9783319008271.ISSN: 0075-8434.Sujet MSC : 60G51, Probability theory and stochastic processes, Processes with independent increments; Lévy processes60H15, Probability theory and stochastic processes - Stochastic analysis, Stochastic partial differential equations
60G52, Probability theory and stochastic processes, Stable stochastic processes
35K57, PDEs - Parabolic equations and parabolic systems, Reaction-diffusion equationsEn-ligne : Springerlink | MathSciNet | zbMath
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This book is about the first exit problem and metastability for a particular class of nonlinear reaction-diffusion equations (the Chafee-Infante equation) perturbed by additive pure jump Lévy noise. The equation has two stable points whose domains of attraction meet in a separating manifold with several saddle points. The problem is motivated by models in climate dynamics, and the appendix of the book provides more information on the subject. ... (MSN)
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