Abstract
In this paper, the author considers the Cauchy problem for semilinear wave equations with critical exponent in n ≥ 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.
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*Project supported by 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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Zhou, Y. Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*. Chin. Ann. Math. Ser. B 28, 205–212 (2007). https://doi.org/10.1007/s11401-005-0205-x
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DOI: https://doi.org/10.1007/s11401-005-0205-x