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Debussche, Arnaud; Hogele, Michael; Imkeller, Peter - The Dynamics of Nonlinear Reaction-diffusion Equations with Small Levy Noise - 9783319008271 - V9783319008271
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The Dynamics of Nonlinear Reaction-diffusion Equations with Small Levy Noise

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Description for The Dynamics of Nonlinear Reaction-diffusion Equations with Small Levy Noise Paperback. Series: Lecture Notes in Mathematics. Num Pages: 179 pages, 1 black & white illustrations, 8 colour illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 153 x 241 x 14. Weight in Grams: 290.

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 ... Read more

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Product Details

Format
Paperback
Publication date
2013
Publisher
Springer International Publishing AG Switzerland
Number of pages
180
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
165
Place of Publication
Cham, Switzerland
ISBN
9783319008271
SKU
V9783319008271
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

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