Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure

被引：48
作者：
Hausenblas, E [1 ]
机构：
[1] Salzburg Univ, Dept Math, A-5020 Salzburg, Austria
来源：
ELECTRONIC JOURNAL OF PROBABILITY | 2005年 / 10卷
关键词：
stochastic integral of jump type; stochastic partial differential equations; Poisson random measures;
D O I：
10.1214/EJP.v10-297
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper we investigate SPDE's in certain Banach spaces driven by a Poison random measure. We show existence and uniqueness of the solution, investigate a certain integrability properties and verify the cadlag property.
引用
收藏
页码：1496 / 1546
页数：51
相关论文
共 49 条
[1]   Parabolic SPDEs driven by Poisson white noise [J].
Albeverio, S ;
Wu, JL ;
Zhang, TS .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1998, 74 (01) :21-36
[2]  
[Anonymous], 1996, DEGRUYTER SERIES NON
[3]  
[Anonymous], PROGR PROBAB
[4]  
[Anonymous], 1975, PROBABILITY WINTER S
[5]  
Applebaum D., 2000, RANDOM OPER STOCHAST, V8, P245
[6]  
ASSOUAD P, 1975, VARIOUS PUBL SER AAR, V24, P1
[7]   THE MALLIAVIN CALCULUS FOR PURE JUMP-PROCESSES AND APPLICATIONS TO LOCAL TIME [J].
BASS, RF ;
CRANSTON, M .
ANNALS OF PROBABILITY, 1986, 14 (02) :490-532
[8]  
Bergh J., 1976, Grundlehren der Mathematischen Wissenschaften, V223
[9]   STOCHASTIC INTEGRATION AND LP-THEORY OF SEMI-MARTINGALES [J].
BICHTELER, K .
ANNALS OF PROBABILITY, 1981, 9 (01) :49-89
[10]  
BICHTELER K., 2002, ENCY MATH ITS APPL, V89, DOI DOI 10.1017/CBO9780511549878
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