The initial value problem for a class of nonlinear dispersive equations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1990

AUTHORS

Carlos E. Kenig , Gustavo Ponce , Luis Vega

ABSTRACT

We consider the initial value problem for a (generalized) equation which arises in the study of propagation of unidirectional nonlinear, dispersive waves. The aim is to study the local and global well-posedness of this problem in classical Sobolev spaces H s. For the associated linear problem sharp local and global smoothing effects are proven. It is shown how to use these effects to establish well-posedness result for the nonlinear problem. More... »

PAGES

141-156

References to SciGraph publications

Book

TITLE

Functional-Analytic Methods for Partial Differential Equations

ISBN

978-3-540-53393-1
978-3-540-46818-9

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bfb0084903

DOI

http://dx.doi.org/10.1007/bfb0084903

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1053108012


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