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Existence of random attractors for stochastic non-autonomous reaction-diffusion equation with multiplicative noise on $\mathbb{R}^{n}$

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In this paper, we are concerned with the existence of random dynamics for stochastic non-autonomous reaction-diffusion equations driven by a Wiener-type multiplicative noise defined on the unbounded domains.

Abstract

In this paper, we are concerned with the existence of random dynamics for stochastic non-autonomous reaction-diffusion equations driven by a Wiener-type multiplicative noise defined on the unbounded domains.

참고문헌 (24)

  1. L. Arnold, "Random Dynamical System" (1998), Springer-Verlag
  2. P.W.Bates, "Random Attractor for stochastic reaction-Diffusion Equation on unbounded domains", J.Differential Equations, 246(2), pp.845~869 (2009)
  3. T.Caraballo, "Exponentially stable stationary solutions for stochastic evolution equations and their perturbation", Appl. Math. Optim, 50, pp.183~207 (2004)
  4. M. Yang, "Global attractor for p-Laplacian equation", J. Math. Anal. Appl, 327(2), pp.1130~1142 (2007)
  5. T.Caraballo, "A stochastic pitchfork bifurcation in a reaction-diffusion equation", Proc.R.Soc. Lond. Ser A, 457, pp.2041~2061 (2001)
  6. Z.Wang, "Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains", J. Math. Anal. Appl, 384, pp.160~172 (2011)
  7. H. Crauel, "Random probability Measure on polish Spaces" (2002), Taylor and Francis
  8. S.F. Zhou, "Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations", Appl. Math. Comput, 276, pp.80~95 (2016)
  9. J. Li, "Existence and upper semicontinuity of random attractors of stochastic p-Laplacian equation on unbounded domains", Electron. J. Differential Equations, 87, pp.1~27 (2014)
  10. W. Zhao, "Long-time random dynamics of stochastic parabolic p-Laplacian equation on RN", Nonlinear Anal, 152, pp.196~219 (2017)
  11. H. Crauel, "Random attractors", J. Dynam. Differential Equations, 9, pp.307~341 (1997)
  12. H. Crauel, "Attractors for random dynamical system", Probab. Theory Related Fields, 100, pp.365~393 (1994)
  13. S.Zhou, "Random exponential attractors for stochastic reaction-diffusion equation with multiplicative noise in R3", J.Differential Equations (2017)
  14. X. Fan, "Attractor for a damped stochastic wave equation of sine-Gordon type with sublinear multiplicative noise", Stoch. Anal. Appl, 24, pp.767~793 (2006)
  15. W. Zhao, "Random attractors in H1 for stochastic two dimensional Micropolar fluid flows with spatial-valued noise", Electron. J. Differential Equations, 246, pp.1~19 (2014)
  16. F. Flandoli, "Random attractors for 3D stochastic Navier-Stokes equation with multiplicative noise", Stoch. Stoch. Rep, 59, pp.21~45 (1996)
  17. W. Zhao, "(L2;Lp)-random attractors for stochastic reaction-diffusion equation on unbounded domains", Nonlinear Anal, 75(2), pp.485~502 (2012)
  18. G. Da Prato, "stochastic Equation in Infinite Dimensions" (1992), Cam-bridge Univ. Press
  19. I. Chueshov, "Monotone Random System Theory and Applications" (2002), Springer-Verlag
  20. C. Zhao, "sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications", J. Math. Anal. Appl, 354, pp.78~95 (2009)
  21. W. Zhao, "Regularity of random attractors for a degenerate parabolic equations driven by additive noise", Appl. Math. Comput, 239, pp.358~374 (2014)
  22. H. Kesten, "An iterated logarithm law for local time", Duke Math. J, 32(3), pp.447~456 (1965)
  23. M. D. Donsker, "On laws of the iterated logarithm for local time", Comm. Pure Appl. Math, 30(6), pp.707~753 (1977)
  24. B. Wang, "Suffcient and necessary criteria for existence of pullback attractors for non-compact random dynamical system", J. Differential Equations, 253, pp.1544~1583 (2012)

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