KdV is well-posed in \(H^{-1}\)

DOI10.4007/annals.2019.190.1.4zbMath1426.35203arXiv1802.04851OpenAlexW2963550426WikidataQ114715824 ScholiaQ114715824MaRDI QIDQ2320609

Rowan Killip, Monica Visan

Publication date: 23 August 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04851

zbMATH Keywords

completely integrable systems local smoothing low regularity

Mathematics Subject Classification ID

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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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