Well and ill-posed problems for the KdV and Kawahara equations

Well and ill-posedness of initial-boundary value problems for the KdV and Kawahara equations posed on a finite interval are discussed. Non-existence of solutions to ill-posed problem for the KdV equation is proved as well as solvability, uniqueness, exponential decay and asymptotics of regular solut...

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Bibliographic Details
Main Authors: Nikolai A. Larkin, Gleb G. Doronin
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2008-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7419/4263