Well-posedness of KdV type equations

In this work, we study the initial value problems associated to some linear perturbations of the KdV equations. Our focus is in the well-posedness issues for the initial data given in the $L^2$-based Sobolev spaces. We develop a method that allows us to treat the problem in the Bourgain's space...

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Bibliographic Details
Main Author: Carvajal, Xavier (author)
Other Authors: Panthee, Mahendra Prasad (author)
Format: article
Language:eng
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/1822/17877
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/17877