✦ LIBER ✦

Cauchy Problem for One-Dimensional Semilinear Hyperbolic Systems: Global Existence, Blow Up

✍ Scribed by Denise Aregba-Driollet; Bernard Hanouzet

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 962 KB
Volume: 125
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1996.0022

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✦ Synopsis

We study the blow up or global existence of the solutions of the Cauchy problem for 2_2 one-dimensional first order semilinear strictly hyperbolic systems with homogeneous quadratic interaction. Two characterizations are obtained: global existence for locally bounded data, global existence for small bounded data with compact support.