ON THE CAUCHY-PROBLEM FOR A FAMILY OF QUASI-LINEAR HYPERBOLIC-EQUATIONS

Authors
CONSTANTIN A ESCHER J
Citation
A. Constantin et J. Escher, ON THE CAUCHY-PROBLEM FOR A FAMILY OF QUASI-LINEAR HYPERBOLIC-EQUATIONS, Communications in partial differential equations, 23(7-8), 1998, pp. 1449-1458
Citations number
15
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
23
Issue
7-8
Year of publication
1998
Pages
1449 - 1458
Database
ISI
SICI code
0360-5302(1998)23:7-8<1449:OTCFAF>2.0.ZU;2-2
Abstract
We prove local well-posedness and give some global existence and blow- up criteria for solutions of a family of quasilinear hyperbolic equati ons arising in, shallow water theory.