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Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law
作者姓名:CHEN Xue-hong  JIANG Cheng-shun Institute of Information Engineering  Information Engineering University  Zhengzhou  China
作者单位:CHEN Xue-hong,JIANG Cheng-shun Institute of Information Engineering,Information Engineering University,Zhengzhou 450002,China
基金项目:Supported by the Henan Innovation Project for University Prominent Research Talents (2003KJCX008)
摘    要:This paper deals with an initial boundary value problem for the strongly coupled reaction-diffusion systems with a full matrix of diffusion coefficients. The global existence of solutions is proved by using the techniques based on invariant regions, Lyapunov functional methods, and local Lp prior estimates independent of time.

关 键 词:不变关系  扩散规律  矩阵  系数

Global Bounded Solutions for Reaction-diffusionSystems with a Full Matrix of DiffusionCoefficients and a Balance Law
CHEN Xue-hong,JIANG Cheng-shun Institute of Information Engineering,Information Engineering University,Zhengzhou ,China.Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law[J].Chinese Quarterly Journal of Mathematics,2004,19(1):16-23.
Authors:CHENXue-hong JIANGCheng-shun
Institution:InstituteofInformationEngineering,InformationEngineeringUniversity,Zhengzhou450002,China
Abstract:This paper deals with an initial boundary value problem for the strongly coupledreaction-diffusion systems with a full matrix of diffusion coefficients. The global existence ofsolutions is proved by using the techniques based on invariant regions, Lyapunov functionalmethods, and local Lp prior estimates independent of time.
Keywords:Reaction diffusion systems  Invariant regions  Lyapunov functional  Global existence  
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