Modified energies for the periodic generalized KdV equation and applications
DOI10.4171/aihpc/62zbMath1527.35360arXiv2107.01926OpenAlexW4308330931MaRDI QIDQ6075017
Fabrice Planchon, Nickolay Tzvetkov, Nicola Visciglia
Publication date: 20 October 2023
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/2107.01926
Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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