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Approximating solutions of neutral stochastic evolution equations with jumps 被引量：1

Approximating solutions of neutral stochastic evolution equations with jumps
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摘要 In this paper, we establish existence and uniqueness of the mild solutions to a class of neutral stochastic evolution equations driven by Poisson random measures in some Hilbert space. Moreover, we adopt the Faedo-Galerkin scheme to approximate the solutions. In this paper, we establish existence and uniqueness of the mild solutions to a class of neutral stochastic evolution equations driven by Poisson random measures in some Hilbert space. Moreover, we adopt the Faedo-Galerkin scheme to approximate the solutions.
作者 BO LiJun SHI KeHua WANG YongJin
机构地区 Department of Mathematics School of Mathematical Sciences
出处 《Science China Mathematics》 SCIE 2009年第5期895-907,共13页 中国科学：数学（英文版）
基金 supported by the LPMC at Nankai University and National Natural Science Foundation of China(Grant No. 10671036)
关键词 neutral stochastic evolution equations Poisson random measures Faedo-Galerkin approximation 34A45 60H15 neutral stochastic evolution equations Poisson random measures Faedo-Galerkin approximation
分类号 O211.6 [理学—概率论与数理统计]
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参考文献10

  • 1Bahuguna D,Shukla R.Approximations of solutions to nonlinear sobolev type evolution equations. The Electronic Journal of Differential Equations . 2003
  • 2Mahmudov N.I.Existence and uniqunence results for neutral SDEs in Hilbert spaces. Stochastic Analysis and Applications . 2006
  • 3Albeverio,S.,Wu,J.L.,Zhang,T.S.Parabolic SPDEs driven by Poisson White Noise. Stochastic Processes and Their Applications . 1998
  • 4Truman,A.,Wu,J.-L.Stochastic Burgers equation with Lévy space-time white noise. Probabilistic Methods in Fluids . 2003
  • 5Mueller,C.The heat equation with Levy noise. Stochastic Processes and Their Applications . 1998
  • 6Bo,L. J.,Wang,Y. J.Stochastic Cahn-Hilliard partial differential equations with Lévy spacetime white noises. Stoch Dyn . 2006
  • 7Knoche,C.SPDEs in infinite dimensions with Poisson noise. C. R. Math. Acad. Sci. Paris, Ser. I . 2004
  • 8Hausenblas,E.Existence, Uniqueness and Regularity of Parabolic SPDEs driven by Poisson random measure. Electron. J. Probab . 2005
  • 9Pazy,A. Semigroups of Linear Operators and Applications to Partial Differential Equations . 1983
  • 10Da,Prato,G.,Zabczyk,J. Stochastic equations in infinite dimensions . 1992

引证文献1

Science China Mathematics
2009年 第5期

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