Existence and Nonexistence of the Global Solution on the Quasilinear Parabolic Equation 被引量：1

拟线性抛物方程整体解的存在性和不存在性(英文)

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摘要 The paper studies the existence, the exponential decay and the nonexistence of global solution for a class of quasilinear parabolic equations.

作者庞进生张宏伟

机构地区 Shangqiu Vocational and Technical College Department of Mathematics Henan University of Technology

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第3期444-450,共7页 数学季刊（英文版）

基金 the National Natural Science Foundation of China(10371111) the Natural Science Foundation of Henan Province(0611053300)

关键词 quasilinear parabolic equation global existence exponential decay BLOW-UP 拟线性抛物方程整体解存在性不存在性

分类号 O175.26 [理学—基础数学]

作者简介 PANG Jin-sheng（1956- ）, male, native of Shangqiu, Henan, an associate professor of Shangqiu Vocational and Technical College, engages in advances mathematics and partial differential equation

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参考文献20

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共引文献4

1杨莉,谢永钦.一类非线性发展方程整体弱解的存在性[J].湖南工业大学学报,2010,24(1):36-39. 被引量：2
2呼青英,张宏伟.种群增长的分数阶反应扩散方程解的长时间性态[J].生物数学学报,2009,24(4):697-701. 被引量：1
3孙晶晶,张建文.一类非线性发展方程的整体吸引子[J].太原理工大学学报,2018,49(2):300-307. 被引量：1
4陆军,梁银双.一类粘弹性方程解的爆破[J].郑州师范教育,2013,2(2):6-8.

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1李建军,李阳晨.一类具有对数非线性源项的分数阶p-Laplace扩散方程解的存在性和爆破[J].数学物理学报(A辑),2025,45(2):465-478.

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2Yu Ying ZHOU.Existence and Nonexistence of Positive Solutions to a Singular p-Laplacian Differential Equation[J].Journal of Mathematical Research and Exposition,2010,30(4):643-652.
3Liu Zhenhai Department of Mathematics, Changsha University of Electric Power, Changsha 410077, China.Existence of Solutions for Degenerate Quasilinear Parabolic Equationsof Higher Order[J].Acta Mathematica Sinica,English Series,1997,13(4):465-472. 被引量：3
4王卫东,张全德.ON GLOBAL EXISTENCE AND NONEXISTENCE FOR SOME NONLINEAR PARABOLIC EQUATIONS[J].Acta Mathematica Scientia,1998,18(3):249-261. 被引量：2
5Zhang Cuimei Chen Wencheng Yang Yu ( College of Information Science and Engineering, Shandong University of Science and Technology, Taian 271019,College of Information Science and Engineering, Shandong Agricultural University, Taian 271018).THE LIMIT CYCLES OF A KIND OF EXPLOITED PREDATOR-PREY SYSTEM[J].Annals of Differential Equations,2006,22(3):442-445.
6谭忠,许勇强.EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN[J].Acta Mathematica Scientia,2012,32(6):2203-2210.
7Xinhong Chen, Weibing Wang (Dept. of Math., Hunan University of Science and Technology, Xiangtan 411201, Hunan).EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO A THREE-POINT BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2012,28(2):146-152.
8Xian-zhong ZENG,Zhen-hai LI,Yong-geng GU.Existence and Nonexistence of Global Positive Solutions for a Weakly Coupled P-Laplacian System[J].Acta Mathematicae Applicatae Sinica,2013,29(3):541-554.
9WuYONGHUI,WANGMINGXIN.EXISTENCE　AND　NONEXISTENCE　OF　GLOBAL　SOLUTION　OF　NONLINEAR　PARABOLIC　EQUATION　WITH　NONLINEAR　BOUNDARY　CONDITION[J].Chinese Annals of Mathematics,Series B,1995,16(3):371-378. 被引量：4
10周文书,魏晓丹,秦绪龙.一类奇异半线性椭圆方程解的不存在性[J].数学学报（中文版）,2014,57(1):125-130. 被引量：1

Chinese Quarterly Journal of Mathematics

2007年第3期

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