Well and ill-posed problems for the KdV and Kawahara equations - doi: 10.5269/bspm.v26i1-2.7419
Doronin, Gleb G. ; Larkin, Nikolai A.
Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5269/bspm.v26i1-2.7419 
@article{7419,
     title = {Well and ill-posed problems for the KdV and Kawahara equations - doi: 10.5269/bspm.v26i1-2.7419},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {23},
     year = {2009},
     doi = {10.5269/bspm.v26i1-2.7419},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/7419}
}

Doronin, Gleb G.; Larkin, Nikolai A. Well and ill-posed problems for the KdV and Kawahara equations - doi: 10.5269/bspm.v26i1-2.7419. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v26i1-2.7419. http://gdmltest.u-ga.fr/item/7419/