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Jump Type Cahn-Hilliard Equations with Fractional Noises 被引量：2

Jump Type Cahn-Hilliard Equations with Fractional Noises
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摘要 The authors explore a class of jump type Cahn-Hilliard equations with fractional noises. The jump component is described by a (pure jump) Lévy space-time white noise. A fixed point scheme is used to investigate the existence of a unique local mild solution under some appropriate assumptions on coefficients.
作者 Lijun BO Kehua SHI Yongjin WANG
机构地区 Department of Mathematics Corresponding author. School of Mathematical Sciences School of Mathematical Sciences
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2008年第6期663-678,共16页 数学年刊（B辑英文版）
基金 supported by the National Natural Science Foundation of China (No. 10871103) the LPMC at Nankai University.
关键词 Cahn-Hilliard equations Fractional noises Lévy space-time white noise Local mild solution Cahn-Hilliard方程 白噪音 偏微分方程 解法
分类号 O175 [理学—基础数学]
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参考文献23

  • 1Albeverio, J., Wu, J. and Zhang, T., Parabolic SPDEs driven by Poisson white noise, Stoch. Proc. Appl., 74, 1998, 21-36.
  • 2Bo, L., Jiang, Y. and Wang, Y., On a class of stochastic Anderson models with fractional noises, Stoch. Anal. Appl., 26, 2008, 256-273.
  • 3Bo, L., Shi, K. and Wang, Y., On a nonlocal stochastic Kuramoto-Sivashinsky equation with jumps, Stoch. Dyn., 7, 2007, 439--457.
  • 4Bo, L. and Wang, Y., Stochastic Cahn-Hilliard partial differential equations with Levy spacetime white noises, Stoch. Dyn., 6(2), 2006, 229-244.
  • 5Cardon-Weber, C., Cahn-Hilliard stochastic equation: existence of the solution and of its density, Bernoulli, 7(5), 2001, 777-816.
  • 6Cardon-Weber, C. and Millet, A., On strongly Petrovskii's parabolic SPDEs in arbitrary dimension and application to the stochastic Cahn-Hilliard equation, J. Th. Prob., 17(1), 2001, 1-49.
  • 7Cahn, J. and Hilliard, J., Free energy for a nonuniform system I, Interfacial free energy, J. Chem. Phys., 2, 1958, 258-267.
  • 8Da Prato, G. and Debussche, A., Stochastic Cahn-Hilliard equation, Nonlinear Anal. Th. Meth. Appl., 26(2), 1996, 241-263.
  • 9Duncan, E., Maslowski, B. and Pasik-Duncan, B., Fractional Brownian motion and stochastic equations in Hilbert space, Stoch. Dyn., 2, 2002, 225-250.
  • 10Hausenblas, E., Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure, Electron. J. Prob., 10(46), 2005, 1496-1546.

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Chinese Annals of Mathematics,Series B
2008年 第6期

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