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On the Blow-up of the Solutions of a Quasilinear Wave Equation With a Semilinear Source Term

✍ Scribed by João-Paulo Dias; Mário Figueira

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
214 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth initial data belonging to the uniformly local Sobolev spaces considered by Kato and by Majda.

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