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Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents

Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents
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摘要 In this paper, we study a nonlinear parabolic system with variable exponents. The existence of classical solutions to an initial and boundary value problem is obtained by a fixed point theorem of the contraction mapping, and the blow-up property of solutions in finite time is obtained with the help of the eigenfunction of the Laplace equation and a delicated estimate. In this paper, we study a nonlinear parabolic system with variable exponents. The existence of classical solutions to an initial and boundary value problem is obtained by a fixed point theorem of the contraction mapping, and the blow-up property of solutions in finite time is obtained with the help of the eigenfunction of the Laplace equation and a delicated estimate.
作者 Gao Yun-zhu Gao Wen-jie
机构地区 School of Mathematics Department of Mathematics
出处 《Communications in Mathematical Research》 CSCD 2013年第1期61-67,共7页 数学研究通讯（英文版）
基金 The NSF (10771085) of China
关键词 BLOW-UP EXISTENCE nonlinear parabolic system variable exponent blow-up, existence, nonlinear parabolic system, variable exponent
分类号 O241.82 [理学—计算数学]
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参考文献14

  • 1Escobedo M,Herrero M A. Boundedness and blow up for a semilinear reaction-diffusion system[J].J Diferential Equations,1991.176-202.
  • 2Escobedo M,Herrero M A. A Semilinear parabolic system in a bounded domain[J].Annali Di Matematica Pura Ed Applicata,1998.315-336.
  • 3Erdem D. Blow-up of solutions to quasilinear parabolic equations[J].Applied Mathematics Letters,1999.65-69.
  • 4Galaktionov V A,Kurdyumov S P,Samarskii A A. A parabolic system of quasiliner equations Ⅰ[J].Differential Equations,1983.2133-2143.
  • 5Galaktionov V A,Kurdyumov S P,Samarskii A A. A parabolic system of quasiliner equations Ⅱ[J].Diferential Equations,1985.1544-1559.
  • 6Friedman A,Giga Y. A single point blow up for solutions of nonlinear parabolic systems[J].J Fac Sci Univ Tokyo Sect IA Math,1987.65-79.
  • 7Pinasco J P. Blow-up for parabolic and hyperbolic problems with variable exponents[J].Nonlinear Analysis,2009.1094-1099.
  • 8Kalashnikov A S. Some problems of the qualitative theory of nonlinear degenerate second-order parabolic equations[J].Russian Mathematical Surveys,1987.169-222.
  • 9Andreu-Vaillo F,Caselles V,Mazón J M. Parabolic Quasilinear Equations Minimizing Linear Growth Functions[A].Basel:Birkh(a)user Verlag,2004.
  • 10Levine H A. Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put =-Au + F(u)[J].Arch Ratioal Mech Anal,1973.371-386.
Communications in Mathematical Research
2013年 第1期

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