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Biow‐up of solutions of some nonlinear hyperbolic equations
Tosio Kato
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Source: Crossref
Published: Jul 1, 1980
DOI: 10.1002/cpa.3160330403
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Abstract We prove that any nontrivial solution of certain nonlinear hyperbolic partial differential equations of second order blows up in a finite time if the initial data are localized, the initial velocity being on the average non‐negative.
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