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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作  者:Yi ZHOU 

机构地区:[1]School of Mathematical Sciences, Fudan University, Shanghai 200433, China

出  处:《Chinese Annals of Mathematics,Series B》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.

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

关 键 词:Semilinear wave equation Critical exponent Cauchy problem Blow up 

分 类 号:O175.29[理学—数学]

 

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