000 01778 a2200253 4500
008 200320b ||||| |||| 00| 0 eng d
020 _a9780521879897
082 _a515.353 PES
100 _aPeszat, S.
245 _aStochastic partial differential equations with levy noise: an evolution equation approach, Vol. 113
260 _bCambridge University Press,
_c2007.
_aCambridge:
300 _axii; 419 p.
_bhb;
_c245 cm.
365 _aGBP
_b113.00
440 _aEncyclopedia of mathematics and its applications
520 _aRecent 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.
650 _aLevy Processes
650 _aRandom Fields
650 _aStochastic Partial Differential Equations
650 _aWave Equation
650 _aCalculus
650 _aMathematical Analysis
700 _aZabczyk, J.
942 _2ddc
_cTD
999 _c52759
_d52759