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文章基本信息

  • 标题:Exponential Estimates for “Not Very Large Deviations” and Wave Front Propagation for a Class of Reaction-Diffusion Equations
  • 本地全文:下载
  • 作者:S. C. CARMONA ; N. I. TANAKA
  • 期刊名称:Brazilian Journal of Probability and Statistics
  • 印刷版ISSN:0103-0752
  • 出版年度:2000
  • 卷号:14
  • 期号:1
  • 页码:15-46
  • 出版社:Brazilian Statistical Association
  • 摘要:A Large Deviation Principle (LDP) for a class of random processes depending on a small parameter " > 0 is established. This class of processes arises from a random perturbation of a dynamical system. Then, exponential estimates for events of the type “not very large deviations” (deviations of order " , 0 <  < 1 2 ) are obtained. Finally, the wave front propagation, as " ↓ 0 , of the solution of some initial-boundary value problems is analyzed; these problems are formulated in terms of a reaction-diffusion equation whose diffusion coefficient is of order 1 " and the nonlinear term is of order 1 " 1−2 . The wave front is characterized in terms of the action functional corresponding to the Large Deviation Principle initially obtained.
  • 关键词:Action functional; large deviation; “not very large deviations”;wave front propagation.
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