Well and ill-posed problems for the KdV and Kawahara equations - doi: 10.5269/bspm.v26i1-2.7419
DOI :
https://doi.org/10.5269/bspm.v26i1-2.7419Mots-clés :
KdV and Kawahara equations, solvability, stability.Résumé
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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