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Stochastic Partial Differential Equations with L?vy Noise: An Evolution Equation Approach

Posted on 2010-03-18




Name:Stochastic Partial Differential Equations with L?vy Noise: An Evolution Equation Approach
ASIN/ISBN:0521879892
Language:English
File size:42 Mb
Language: English
Publish Date: 2007-11-05
ISBN: 0521879892
Pages: 438 pages
File Type: PDF (no OCR)
File Size: 42 MB
Other Info: Cambridge University Press
   Stochastic Partial Differential Equations with L?vy Noise: An Evolution Equation Approach

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(Encyclopedia of Mathematics and its Applications)

Recent years have seen an explosion of interest in stochastic partial differential equations where the driving noise is discontinuous. In this comprehensive monograph, two leading experts detail the evolution equation approach to their solution. Most of the results appear here for the first time in book form, and the volume is sure to stimulate further research in this important field. The authors start with a detailed analysis of L?vy processes in infinite dimensions and their reproducing kernel Hilbert spaces; cylindrical L?vy processes are constructed in terms of Poisson random measures; stochastic integrals are introduced. Stochastic parabolic and hyperbolic equations on domains of arbitrary dimensions are studied, and applications to statistical and fluid mechanics and to finance are also investigated. Ideal for researchers and graduate students in stochastic processes and partial differential equations, this self-contained text will also interest those working on stochastic modeling in finance, statistical physics and environmental science.

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