On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below \(H^{1 / 2}(\mathbb{T})\)
DOI10.1016/J.JDE.2021.07.019OpenAlexW2795552354MaRDI QIDQ2045844
Publication date: 16 August 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.07174
a priori estimatesderivative nonlinear Schrödinger equationdispersive equationsmodified Benjamin-Ono equationshort-time Fourier restriction norm method
Periodic solutions to PDEs (35B10) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)
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