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arXiv 2015-10-28 DOI 10.1016/j.aml.2015.11.012 0 views

Revisit to Fritz John's paper on the blow-up of nonlinear wave equations

Yang, Xin · Zhou, Zhengfang

Original · EN

In Fritz John's famous paper (1979), he discovered that for the wave equation u=|u|ᵖ, where 1<p<1+√2 and denoting the d'Alembertian, there is no global solution for any nontrivial and compactly supported initial data. This paper is intended to simplify his proof by applying a Gronwall's type inequality.

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