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| Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions |
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Citation： |
Yi ZHOU.Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions[J].Chinese Annals of Mathematics B,2007,28(2):205~212 |
| Page view： 1235
Net amount： 1117 |
Authors： |
Yi ZHOU; |
Foundation： |
the National Natural Science Foundation of China (No. 10225102) and the 973 Project of the Ministry of Science and Technology of China |
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| Abstract： |
In this paper, the author considers the Cauchy problem for semilinear wave equations with critical exponent in $n\geq 4$ space dimensions. Under some positivity conditions on the initial data, it is proved that there can be no global solutions no matter how small the initial data are. |
Keywords： |
Semilinear wave equation, Critical exponent, Cauchy problem, Blow up |
Classification： |
35L05, 35L70, 35L15 |
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