<b>Well and ill-posed problems for the KdV and Kawahara equations</b> - doi: 10.5269/bspm.v26i1-2.7419

Gleb G. Doronin; Nikolai A. Larkin

doi:10.5269/bspm.v26i1-2.7419

<b>Well and ill-posed problems for the KdV and Kawahara equations</b> - doi: 10.5269/bspm.v26i1-2.7419

Gleb G. Doronin UEM
Nikolai A. Larkin

DOI: https://doi.org/10.5269/bspm.v26i1-2.7419

Keywords: KdV and Kawahara equations, solvability, stability.

Abstract

Well and ill-posedness of initial-boundary value problems for the KdV and Kawahara equations posed on a nite 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 solutions to the Kawahara equation subject to reasonable boundary conditions.

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Issue

Vol 26 No 1-2 (2008)

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Proceedings

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