Ponce
Gustavo
false
1994-01-01
We consider a sequence of one-dimensional dispersive equations. These equations contain the KdV hierarchy as well as several higher order models arising in both physics and mathematics. We obtain conditions which guarantee that the corresponding initial value problem is locally and globally well-posed in appropiated function spaces. Our method is quite general and can be used to study other dispersive systems and related problems.
1994
chapter
https://link.springer.com/10.1007%2F978-1-4615-2474-8_24
en
2019-04-16T09:19
On the Hierarchy of the Generalized KdV Equations
https://scigraph.springernature.com/explorer/license/
chapters
347-356
doi
10.1007/978-1-4615-2474-8_24
Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA
University of Chicago
Gabitov
I. R.
Vega
Luis
Springer Nature - SN SciGraph project
Kenig
Carlos E.
Ercolani
N. M.
Pure Mathematics
pub.1024162875
dimensions_id
readcube_id
731d573052ba7fbd06db1746ad68ac44c791feb88983beaecc441ef410633f05
Boston, MA
Springer US
978-1-4613-6054-4
978-1-4615-2474-8
Singular Limits of Dispersive Waves
University of California, Santa Barbara
Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA
D.
Serre
Mathematical Sciences
Facultad de Ciencias, Universidad Autonoma de Madrid Cantoblanco, 28049, Madrid, Spain
Autonomous University of Madrid
C. D.
Levermore