| Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law |
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| 引用本文： | CHEN Xue-hong,JIANG Cheng-shunInstitute of Information Engineering,Information Engineering University,Zhengzhou 450002,China. Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law[J]. 数学季刊, 2004, 19(1): 16-23 |
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| 作者姓名： | CHEN Xue-hong JIANG Cheng-shunInstitute of Information Engineering Information Engineering University Zhengzhou 450002 China |
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| 作者单位： | CHEN Xue-hong，JIANG Cheng-shunInstitute of Information Engineering，Information Engineering University，Zhengzhou 450002，China |
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| 基金项目： | Supported by the Henan Innovation Project for University Prominent Research Talents (2003KJCX008) |
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| 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.
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| 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 |
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| CHENXue-hong JIANGCheng-shun. Global Bounded Solutions for Reaction-diffusionSystems with a Full Matrix of DiffusionCoefficients and a Balance Law[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 16-23 |
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| Authors: | CHENXue-hong JIANGCheng-shun |
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| Affiliation: | InstituteofInformationEngineering,InformationEngineeringUniversity,Zhengzhou450002,China |
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| 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. |
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| Keywords: | Reaction diffusion systems Invariant regions Lyapunov functional Global existence. |
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