Details
| Original language | English |
|---|---|
| Pages (from-to) | 1449-1458 |
| Number of pages | 10 |
| Journal | Communications in Partial Differential Equations |
| Volume | 23 |
| Issue number | 7-8 |
| Publication status | Published - 1998 |
| Externally published | Yes |
Abstract
We prove local well-posedness and give some global existence and blow-up criteria for solutions of a family of quasilinear hyperbolic equations arising in shallow water theory.
Keywords
- Blow-up, Global existence, Well-posedness
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Communications in Partial Differential Equations, Vol. 23, No. 7-8, 1998, p. 1449-1458.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the Cauchy problem for a family of quasilinear hyperbolic equations
AU - Constantin, Adrian
AU - Escher, Joachim
PY - 1998
Y1 - 1998
N2 - We prove local well-posedness and give some global existence and blow-up criteria for solutions of a family of quasilinear hyperbolic equations arising in shallow water theory.
AB - We prove local well-posedness and give some global existence and blow-up criteria for solutions of a family of quasilinear hyperbolic equations arising in shallow water theory.
KW - Blow-up
KW - Global existence
KW - Well-posedness
UR - http://www.scopus.com/inward/record.url?scp=0002231208&partnerID=8YFLogxK
U2 - 10.1080/03605309808821389
DO - 10.1080/03605309808821389
M3 - Article
AN - SCOPUS:0002231208
VL - 23
SP - 1449
EP - 1458
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
SN - 0360-5302
IS - 7-8
ER -