Record:   Prev Next
作者 Debussche, Arnaud
書名 The dynamics of nonlinear reaction-diffusion equations with small lévy noise / Arnaud Debussche, Michael Högele, Peter Imkeller
出版項 Cham, Switzerland : Springer, c2013
國際標準書號 9783319008271
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA274.25 D43 2013    在架上    30340200532566
說明 xiii, 163 p. : col. ill
系列 Lecture notes in mathematics, 1617-9692 ; 2085
Lecture notes in mathematics (Springer-Verlag) ; 2085
附註 The Fine Dynamics of the Chafee-Infante Equation -- The Stochastic Chafee-Infante Equation -- The Small Deviation of the Small Noise Solution -- Asymptotic Exit Times -- Asymptotic Transition Times -- Localization and Metastability
Includes bibliographical references and index
Description based on online resource; title from PDF title page (SpringerLink, viewed Oct. 7, 2013)
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
主題 Stochastic partial differential equations
Lévy processes
Record:   Prev Next