Global well-posedness of partially periodic KP-I equation in the energy space and application

DOI10.1016/j.anihpc.2018.03.002zbMath1404.35106arXiv1706.06903OpenAlexW2964339390MaRDI QIDQ1618254

Tristan Robert

Publication date: 13 November 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06903

zbMATH Keywords

orbital stabilityKadomtsev-Petviashvili equationKdV line soliton

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (3)

Remark on the semilinear ill-posedness for a periodic higher-order KP-I equation ⋮ Well-posedness for a two-dimensional dispersive model arising from capillary-gravity flows ⋮ Nondegeneracy, Morse index and orbital stability of the KP-I lump solution

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