TY  - GEN
AU  - Peszat, S. 
AU  - Zabczyk, J. 
TI  - Stochastic partial differential equations with levy noise: an evolution equation approach, Vol. 113
SN  - 9780521879897
U1  - 515.353 PES 
PY  - 2007///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Levy Processes
KW  - Random Fields
KW  - Stochastic Partial Differential Equations
KW  - Wave Equation
KW  - Calculus
KW  - Mathematical Analysis
N2  - 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 appeared here for the first time in book form. The authors start with a detailed analysis of Lévy processes in infinite dimensions and their reproducing kernel Hilbert spaces; cylindrical Lévy 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
ER  -