| 一类强耦合抛物型方程组初边值问题解的整体存在性 |
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| 引用本文： | XU Zhi-fen,CHEN Bin (Department of Mathematics,Nanjing University of Information Science and Technology,Nanjing 210044,China, Department of Mathematics,Yancheng Teachers College,Yancheng 224002,China). 一类强耦合抛物型方程组初边值问题解的整体存在性[J]. 数学季刊, 2005, 20(1): 90-100 |
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| 作者姓名： | XU Zhi-fen CHEN Bin (Department of Mathematics Nanjing University of Information Science and Technology Nanjing 210044 China Department of Mathematics Yancheng Teachers College Yancheng 224002 China) |
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| 作者单位： | Department of Mathematics，Nanjing University of Information Science and Technology，Nanjing 210044，China; Department of Mathematics，Yancheng Teachers College，Yancheng 224002，China |
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| 基金项目： | Supported by the NSFC(19831060) |
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| 摘 要： | In this paper, we consider a strongly-coupled parabolic system with initial boundary values. Under the appropriate conditions, using Gagliard-Nirenberg inequality, Poincare inequality, Gronwall inequality and imbedding theorem, we obtain the global existence of solutions.
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| 关 键 词： | 全局解 强耦合抛物型系统 初始边值 偏微分方程 |
Global Solutions for a Strongly-coupled Parabolic System with Initial Boundary Values |
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| XU Zhi-fen,CHEN Bin. Global Solutions for a Strongly-coupled Parabolic System with Initial Boundary Values[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 90-100 |
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| Authors: | XU Zhi-fen CHEN Bin |
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| Abstract: | In this paper, we consider a strongly-coupled parabolic system with initial boundary values. Under the appropriate conditions, using Gagliard-Nirenberg inequality, Poincare inequality, Gronwall inequality and imbedding theorem, we obtain the global existence of solutions. |
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| Keywords: | parabolic equations strongly-coupled initial boundary values global solutions |
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