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THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN 被引量:1

THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN
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摘要 A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied. A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第10期1192-1197,共6页 应用数学和力学(英文版)
基金 国家自然科学基金
关键词 singular perturbation reaction diffusion equation initial boundary value problem singular perturbation reaction diffusion equation initial boundary value problem
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  • 1莫嘉琪,1990年
  • 2莫嘉琪,中国科学.A,1988年,10期,1041页
  • 3莫嘉琪,数学物理学报,1987年,7卷,4期,395页
  • 4莫嘉琪,工程数学学报,1985年,2卷,2期,125页
  • 5Pao C V,Nonlinear Anal Methods Appl,1981年,5卷,10期,1077页

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  • 1莫嘉琪.在局部区域上的奇摄动反应扩散方程初始边值问题[J].系统科学与数学,2005,25(1):63-68. 被引量:6
  • 2Gastaldi F,Quateroni A.On the coupling of hyperbolic and parabolic systems:analytical and numerical approach[J].Applied Numerical Mathematics,1989,6:3-31.
  • 3Aguilar G,Lisbona F.Onthe coupling of elliptic and hyperbolic nonlinear differentialequations [J].Mathematical Modelling and Numerical Analysis,1994,28(4):399-417.
  • 4Aguilar G,Lisbona F.Singular perturbation on a subdomain[J].Journal of Mathematical Analysis and Applications,1997,210:292-307.
  • 5Vasil'eva A B,Butuzov V F,Kalachev L V.The Boundary Function Method for Singular Perturbation Problems[M].Philadelphia:SIAM,1995.
  • 6Chang K W,Howes F A.Nonlinear Singular Perturbation Phenomena:Theory and Applications [M].New York:Springer-Verlag,1984.

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