Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (1): 90-100.

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Global Solutions for a Strongly-coupled Parabolic System with Initial Boundary Values

  

  1. Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China; Department of Mathematics, Yancheng Teachers College, Yancheng 224002, China
  • Received:2003-12-23 Online:2005-03-30 Published:2024-02-28
  • About author:XU Zhi-fen(1971-),male,native of Hexian,Anhui,M.S.D.,engages in reaction-diffusion equa- tion;CHEN Bin(1972-),male,native of Binhai,Jiangsu,Ph.D.,engages in reaction-diffusion equation.
  • Supported by:
    Supported by the NSFC(19831060);

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.

Key words: parabolic equations, strongly-coupled, initial boundary values, global solutions

CLC Number: