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

Autor:	Bernard Hanouzet, Denise Aregba-Driollet
Rok vydání:	1996
Předmět:	Cauchy problem Quadratic equation Homogeneous Applied Mathematics Bounded function Mathematical analysis Mathematics::Analysis of PDEs Initial value problem Applied mathematics First order Analysis Hyperbolic systems Mathematics
Zdroj:	Journal of Differential Equations. 125:1-26
ISSN:	0022-0396
DOI:	10.1006/jdeq.1996.0022
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::918c45379873ec1ef50d3a8418b73e1b https://doi.org/10.1006/jdeq.1996.0022 Zobrazit plný text záznamu Full Text from ScienceDirect