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Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions 被引量:22

Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions
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摘要 In this paper, the author considers equations with critical exponent in n ≥4 space tions on the initial data, it is proved that there small the initial data are. the Cauchy problem for semilinear wave dimensions. Under some positivity condican be no global solutions no matter how
作者 Yi ZHOU
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第2期205-212,共8页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No. 10225102) the 973 Project of the Ministry of Science and Technology of China.
关键词 Semilinear wave equation Critical exponent Cauchy problem Blow up 半线性波函数 高维数 临界指数 解的破裂
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  • 1Georgiev,V.,Lindblad,H.and Sogge,C.D.,Weighted Stricharz estimates and global existence for semilinear wave equations,Amer.J.Math.,119,1997,1291-1319. 被引量:1
  • 2Glassey,R.T.,Finite-time blow-up for solutions of nonlinear wave equations,Math.Z.,177,1981,323-340. 被引量:1
  • 3Glassey,R.T.,Existence in the large for □u = F(u) in two space dimensions,Math.Z.,178,1981,233-261. 被引量:1
  • 4John,F.,Blow up of solutions of nonlinear wave equations in three space dimensions,Manuscripta Math.,28,1979,235-268. 被引量:1
  • 5Schaeffer,J.,The equation □u = |u|^p for the critical value of p,Proc.Royal Soc.Edinburgh,101,1985,31-34. 被引量:1
  • 6Sideris,T.C.,Nonexistence of global solutions to semilinear wave equations in high dimensions,J.Differential Equations,52,1984,378-406. 被引量:1
  • 7Strauss,W.A.,Nonlinear scattering theory at low energy,J.Funct.Anal.,41,1981,110-133. 被引量:1
  • 8Takamura,H.,An elementary proof of the exponential blow-up for semilinear wave equations,Math.Meth.Appl.Sci,17,1994,239-249. 被引量:1
  • 9Tataru,D.,Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equations,Trans.Amer.Math.Soc.,353,2001,795-807. 被引量:1
  • 10Yordanov,B.T.and Zhang,Q.S.,Finite time blow up for critical wave equations in high dimensions,Journal of Funct.Anal.,231,2006,367-374. 被引量:1

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