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A solution of the complex Ginzburg-Landau equation with a continuum of decay rates

A solution of the complex Ginzburg-Landau equation with a continuum of decay rates
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摘要 We prove the existence of a uniform initial datum whose solution decays, in var- ious Lp spaces, at different rates along different time sequences going to infinity, for complex Ginzburg-Landau equation on RN, of various parameters θ and γ. We prove the existence of a uniform initial datum whose solution decays, in var- ious Lp spaces, at different rates along different time sequences going to infinity, for complex Ginzburg-Landau equation on RN, of various parameters θ and γ.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第3期367-373,共7页 高校应用数学学报(英文版)(B辑)
基金 Supported by NSFC(11271322,11271105) ZJNSF(LQ14A010011)
关键词 complex Ginzburg-Landau equation asymptotic behavior decay rate. complex Ginzburg-Landau equation, asymptotic behavior, decay rate.
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  • 1T Cazenave, F Dickstein, F B Weissler. A solution of the heat equation with a continuum of decay rates, In: Elliptic and parabolic problems: A special tribute to the work of Hai'm Brezis, Progr Nonlinear Differential Equations Appl, 2005, 63: 135-138.
  • 2T Cazenave, F Dickstein, F B Weissler. Finite-time blowup for a complex Ginzburg-Landau equa- tion, SIAM J Math Anal, 2013, 45(1): 244-266.
  • 3T Cazenave, F Dickstein, F B Weissler. Multi-scale multi-profile global solutions of parabolic equa- tions in N, Discrete Contin Dyn Syst Set S, 2012, 5(3): 449-472.
  • 4C RDoering, J D Gibbon, D D Holm, B Nicolaenko. Low-dimensional behaviour in the complex Ginzburg-Landau equation, Nonlinearity, 1988, 1(2): 279-309.
  • 5C R Doering, J D Gibbon, C D Levermore. Weak and strong solutions of the complex Ginzburg- Landau equation, Phys D, 1994, 71: 285-318.
  • 6J Ginibre, GVelo. The Cauchy problem in local spaces for the complex Ginzburg Landau equa- tion I: compactness methods, Phys D, 1996, 95(344): 191-228.
  • 7J Ginibre, G Velo. The Cauchy problem in local spaces .for the complex Ginzburg Landau equa- tion Ⅱ: contraction methods, Comm Math Phys, 1997, 187(1): 45-79.
  • 8J Xie, L Zhang, T Cazenave. A note on decay rates .for Schr6dinger's equation, Proc Amer Math Soc, 2010, 138(1): 199-207.
  • 9F B Weissler, Local existence and nonexistence for semilinear parabolic equations in Lp, Indiana Univ Math J, 1980, 29: 79-102.
  • 10F B Weissler, Existence and nonexistence of global solutions/or a semilinear heat equation, Israel J Math, 1981, 38(1-2): 29-40.
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