On the existence of periodic solutions to the modified Korteweg-de Vries equation below \(H^{1/2}(\mathbb{T})\)

DOI10.1007/S00028-019-00538-0zbMath1448.35455arXiv1711.09720OpenAlexW2771056972MaRDI QIDQ2195108

Robert Schippa

Publication date: 7 September 2020

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09720

zbMATH Keywords

existence of solutionsmodified Korteweg-de Vries equationdispersive equationsshort-time Fourier restriction norm method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Harmonic analysis and PDEs (42B37)

Related Items (2)

A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces ⋮ A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces

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