一类强耦合抛物型方程组初边值问题的整体存在性

数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 90-100.

一类强耦合抛物型方程组初边值问题的整体存在性

Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China; Department of Mathematics, Yancheng Teachers College, Yancheng 224002, China

收稿日期:2003-12-23 出版日期:2005-03-30 发布日期:2024-02-28
作者简介: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.
基金资助:
Supported by the NSFC(19831060)；

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

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)；

摘要/Abstract

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.

关键词: parabolic equations, strongly-coupled, initial boundary values, global solutions

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

中图分类号:

O175.29

许志奋, 陈滨. 一类强耦合抛物型方程组初边值问题的整体存在性[J]. 数学季刊, 2005, 20(1): 90-100.

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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