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QUENCHING PROBLEM IN SOME SEMILINEAR WAVE EQUATIONS 被引量：4

QUENCHING PROBLEM IN SOME SEMILINEAR WAVE EQUATIONS

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摘要 This article proves a quenching result of the solutions for some semi-linear wave equations. This article proves a quenching result of the solutions for some semi-linear wave equations.

作者李明融白仁德

机构地区 Department of Mathematics Department of Land Economics

出处《Acta Mathematica Scientia》 SCIE CSCD 2008年第3期523-529,共7页 数学物理学报（B辑英文版）

关键词 Wave equation BLOW-UP ESTIMATE Wave equation, blow-up, estimate

分类号 O175.2 [理学—基础数学]

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参考文献20

1Adams R. Sobolev Spaces. Academic Press, 1978
2Browder F E. On nonlinear wave equations. M Z, 1962, 80: 249-264
3Haraux A. Nonlinear Evolution Equations-Global Behavior of Solutions. Lecture Notes in Math 841. Berlin: Springer, 1981
4Jorgens K. Dan Anfangswert problem im GrotBen fur eine Klasse nichtlinearer Wellengleichungen. M Z, 1961, 77: 295-307
5John F. Blow-up for quasilinear wave equations in three space dimensions. Comm Pure Appl Math, 1981, 36:29 -51
6John F. Blow-up of solutions of nonlinear wave equations in three space dimensions. Manuscripta Math,1979, 28:235-268
7John F. Delayed singularity formation in solutions of nonlinear wave equations in higher dimensions. Comm Pure Appl Math, 1976, 29:649-682
8Klainerman S. Global existence for nonlinear wave equations. Comm Pure Appl Math, 1980, 33:43-101
9Kato T. Quasilinear Equations of Evolution with Applications to PDE. Lecture Notes in Math 448. Berlin: Springer, 1975
10Klainerman S, Ponce G. Global, small amplitude solutions to nonlinear evolution equations. Comm Pure Appl Math, 1983, 36:133-141

同被引文献3

1李明融.BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u″=|u|~p[J].Acta Mathematica Scientia,2007,27(4):703-734. 被引量：2
2Pai Jente,Chang Yueloong,Chiu Sumiao.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION[J].Acta Mathematica Scientia,2011,31(5):1749-1764. 被引量：2
3张裕隆,李明融.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION FOR SOME ENTERPRISES[J].Acta Mathematica Scientia,2015,35(5):1014-1022. 被引量：1

引证文献4

1Pai Jente,Chang Yueloong,Chiu Sumiao.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION[J].Acta Mathematica Scientia,2011,31(5):1749-1764. 被引量：2
2Meng-Rong LI,Yue-Loong CHANG,Yu-Tso LI.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION (Ⅱ)[J].Acta Mathematica Scientia,2013,33(4):1127-1140.
3张裕隆,李明融.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION FOR SOME ENTERPRISES[J].Acta Mathematica Scientia,2015,35(5):1014-1022. 被引量：1
4Yue-Loong CHANC,Meng-Rong LI,C. Jack YUE,Yong-Shiuan LEE,Tsung-Jui,CHIANG-LIN.MATHEMATICAL MODEL FOR THE ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION u〞-n^(-q-1)u(n)~q=0[J].Acta Mathematica Scientia,2018,38(4):1311-1321.

二级引证文献3

1Meng-Rong LI,Yue-Loong CHANG,Yu-Tso LI.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION (Ⅱ)[J].Acta Mathematica Scientia,2013,33(4):1127-1140.
2Yue-Loong CHANC,Meng-Rong LI,C. Jack YUE,Yong-Shiuan LEE,Tsung-Jui,CHIANG-LIN.MATHEMATICAL MODEL FOR THE ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION u〞-n^(-q-1)u(n)~q=0[J].Acta Mathematica Scientia,2018,38(4):1311-1321.
3周子勇,李力.Python语言在数学地质课程教学中的应用[J].创新教育研究,2020,8(6):884-890.

1马玉兰,张改英.二维空间上具缓减初值的半线性波动方程全局解的存在性[J].太原重型机械学院学报,1997,18(4):297-301.
2马玉兰,杨复兴.二维空间上一类半线性波动方程的爆破问题[J].应用数学,1997,10(2):53-56.
3田应辉.非线性边界条件下半线性波动方程解的爆破[J].四川师范大学学报（自然科学版）,1999,22(5):525-529. 被引量：1
4CUI Shangbin(Department of Mathematics, Lanzhou University, Lanzhou 730000, China).POSITIVE　SOLUTIONS　FOR　DIRICHLET　PROBLEMS　OF　SINGULAR　SEMILINEAR　ELLIPTIC　EQUATIONS[J].Systems Science and Mathematical Sciences,1995,8(3):203-208.
5孙明岩,赵彦玲,冯国峰.半线性波动方程在三维空间上径向解的Blow-up[J].大连交通大学学报,2007,28(3):4-7.
6宫明艳,胡小龙,陈侠,牛梅,凤尔银.Rovibrational quenching of BH in ultracold 3~He collisions[J].Chinese Physics B,2010,19(6):259-264.
7张晓轶.半线性波动方程的自相似解[J].数学学报（中文版）,2005,48(6):1145-1154.
8何玉芳,傅景礼,李晓伟.The symmetries of wave equations on new lattices[J].Chinese Physics B,2010,19(6):26-31.
9Mustafa Inc,Esma Ulutas,Anjan Biswas.Singular solitons and other solutions to a couple of nonlinear wave equations[J].Chinese Physics B,2013,22(6):115-121. 被引量：1
10冯红银萍,支霞,李胜家.半线性波动方程的局部精确可控性[J].山西大学学报（自然科学版）,2009,32(3):330-332.

Acta Mathematica Scientia

2008年第3期

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