Blow-up estimates for semilinear parabolic systems coupled in an equation and a boundary condition 被引量：3

Blow-up estimates for semilinear parabolic systems coupled in an equation and a boundary condition

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摘要 This paper deals with the blow-up rate estimates of solutions for semilinear parabolic systems coupled in an equation and a boundary condition. The upper and lower bounds of blow-up rates have been obtained. This paper deals with the blow-up rate estimates of solutions for semilinear parabolic systems coupled in an equation and a boundary condition. The upper and lower bounds of blow-up rates have been obtained.

作者王明新

出处《Science China Mathematics》 SCIE 2001年第11期1465-1468,共4页 中国科学：数学（英文版）

基金 the National Natural Science Foundation of China (Grant No. 19831060) Hwa Ying Culture & Education Foundation.

关键词 semilinear 寓言的系统发作率上面、更低的界限 semilinear parabolic systems blow-up rates upper and lower bounds

分类号 O175 [理学—基础数学]

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参考文献3

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同被引文献3

1徐金花,李刚,邹赢.退缩抛物系统正解的局部存在与爆破[J].南京气象学院学报,2005,28(5):662-665. 被引量：1
2慕运动,胡廷峰.具正初始能量的非线性Klein-Gordon方程[J].郑州大学学报（自然科学版）,2001,33(2):12-15. 被引量：3
3陈国旺,薛红霞.人口问题中的三维Ginzburg-Landau模型方程[J].郑州大学学报（理学版）,2003,35(4):1-6. 被引量：2

引证文献3

1李静,赵安娜.带非线性边界条件热方程组正解的爆破速率估计[J].郑州大学学报（理学版）,2005,37(4):17-21. 被引量：3
2范萍,李刚,黄瑜.一个半线性耦合抛物型方程组爆破解的速率估计[J].南京气象学院学报,2008,31(3):441-446. 被引量：3
3林支桂.半空间上具耦合非线性边界扩散系统的爆破性质[J].中国科学（A辑）,2003,33(6):587-596.

二级引证文献6

1李玉环.一类非线性抛物方程解的爆破与梯度爆破[J].四川师范大学学报（自然科学版）,2007,30(2):154-156. 被引量：1
2魏赟赟.一类非线性Schrdinger方程的门槛条件[J].四川师范大学学报（自然科学版）,2008,31(1):70-74.
3吴春晨.一类非线性抛物型方程组正解的整体存在性[J].福建师大福清分校学报,2012,30(2):22-24. 被引量：1
4吴春晨.一类拟线性抛物型方程组的可解性[J].莆田学院学报,2012,19(2):25-27. 被引量：2
5吴春晨.一类非线性抛物型方程组正解的爆破[J].山西大同大学学报（自然科学版）,2012,28(3):5-7. 被引量：5
6刘艳霞,张欣,杨云飞,谢瑞军,吕晓娜,吴文英.一类半线性抛物型方程组解的爆破速率估计[J].数学的实践与认识,2013,43(4):221-224.

1严国政.H^1 SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS[J].Acta Mathematica Scientia,1997,17(1):91-96.
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4Yu-lin Zhou,Guang-wei Yuan(Laboratory of Computational Physics, Center of Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China).GENERAL DIFFERENCE SCHEMES WITH INTRINSICPARALLELISM FOR SEMILINEAR PARABOLIC SYSTEMS OFDIVERGENCE TYPE[J].Journal of Computational Mathematics,1999,17(4):337-352. 被引量：8
5Zhigui Lin Department of Mathematics,Yangzhou University,Yangzhou 225002,P.R.China E-mail:zglin68@hotmail.comChunhong Xie Department of Mathematics,Nanjing University,Nanjing 210093,P.R. China E-mail:algebra@nju.edu.cn.The Blow-up Rate for a System of Heat Equations with Neumann Boundary Conditions[J].Acta Mathematica Sinica,English Series,1999,15(4):549-554. 被引量：3
6Ruixiang XING.The Blow-up Rate for Positive Solutions of Indefinite Parabolic Problems and Related Liouville Type Theorems[J].Acta Mathematica Sinica,English Series,2009,25(3):503-518.
7Zhao Junning Liang Zhilei.BLOW-UP RATE OF SOLUTIONS FOR P-LAPLACIAN EQUATION[J].Journal of Partial Differential Equations,2008,21(2):134-140. 被引量：1
8汤冬梅,邱春晖,钟春平.UNIFORM ESTIMATES OF SOLUTIONS OF(?)-EQUATION ON STEIN MANIFOLDS[J].Acta Mathematica Scientia,2008,28(2):441-448.
9Guangwei Yuanf Longjun Shen(National Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China).THE UNCONDITIONAL STABLE DIFFERENCE METHODS WITH INTRINSIC PARALLELISM FOR TWO DIMENSIONAL SEMILINEAR PARABOLIC SYSTEMS[J].Journal of Computational Mathematics,2003,21(1):63-70. 被引量：5
10Zhengqiu Ling.BLOW-UP AND BLOW-UP RATE FOR A COUPLED SEMILINEAR PARABOLIC SYSTEM WITH NONLOCAL BOUNDARIES[J].Annals of Differential Equations,2013,29(2):151-158.

Science China Mathematics

2001年第11期

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Blow-up estimates for semilinear parabolic systems coupled in an equation and a boundary condition 被引量：3

参考文献3

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