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Original Articles

Reaction-Diffusion Equations with Polynomial Drifts Driven by Fractional Brownian Motions

Pages 1020-1039 | Received 15 Sep 2009, Accepted 10 May 2010, Published online: 29 Oct 2010

References

  • Tindel , S. , Tudor , C.A. , and Viens , F. 2003 . Stochastic evolution equations with fractional Brownian motion . Probability Theory Rel. Fields 127 : 186 – 204 .
  • Maslowski , B. , and Nualart , D. 2003 . Evolution equations driven by a fractional Brownian motion . J. Funct. Anal. 202 : 277 – 305 .
  • Lejay , A. , Gubinelli M., and Tindel S. 2006 . Young integrals and SPDEs . Potential Analysis 25 ( 4 ): 307 – 326 .
  • Da Prato , G. , and Zabczyk , J. 1992 . Stochastic Equations in Infinite Dimensions . Encyclopedia of Mathematics and its Applications , Cambridge University Press , Cambridge, UK .
  • Da Prato G. , and Zabczyk , J. 1996 . Ergodicity for Infinite Dimensional Systems . Lecture Note Series 229 , Cambridge University Press , Cambridge, UK .
  • Zangeneh , B.Z. 1995 . Semilinear stochastic evolution equations with monotone nonlinearities . Stochastics and Stochastics Reports 53 : 129 – 174 .
  • Hamedani , H.D. , and Zangeneh , B.Z. 2001 . Stopped Doob inequality for pth moment, 0 < p < ∞, of stochastic convolution integrals . Stochastic Analysis and Applications 19 ( 5 ): 771 – 798 .
  • Hamedani , H.D. , and Zangeneh , B.Z. 2007 . The existence, uniqueness, and measurability of a stopped semilinear integral equation . Stochastic Analysis and Applications 25 : 1532 – 9356 .
  • Jahanipur , R. , and Zangeneh , B.Z. 2000 . Stability of semilinear stochastic evolution equations with monotone nonlinearity . Mathematical Inequalities and Applications 3 ( 4 ): 593 – 614 .
  • Jahanipur , R. 2003 . Stability of stochastic delay evolution equations with monotone nonlinearity . Stochastic Analysis and Applications 21 ( 1 ): 161 – 181 .
  • Zamani , Sh. , and Zangeneh , B.Z. 2005. Random motion of strings and related stochastic evolution equations with monotone nonlinearities. Stochastic Analysis and Applications 23:903–920.
  • Zamani , Sh. 1997 . High conductivity limits for reaction-diffusion equations. Preprint 577 Institute of Mathematics, Polish Academy of Sciences.
  • Zamani , Sh. 1999 . High conductivity limits for reaction-diffusion equations . Probability and Mathematical Statistics 19 ( 1 ): 109 – 121 .
  • Funaki , T. 1983 . Random motion of strings and related stochastic evolution equations . Nagoya Math. 89 : 129 – 193 .

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