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 |