Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle

DOI10.1016/j.na.2020.111777zbMath1441.35007arXiv1906.01956OpenAlexW2948335863MaRDI QIDQ1988395

Robert Schippa

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01956

zbMATH Keywords

periodic boundary conditionsdispersive equationsmodified energiesshort-time Fourier restriction norm method

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (5)

Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations ⋮ Low regularity well-posedness for generalized Benjamin–Ono equations on the circle ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ On short-time bilinear Strichartz estimates and applications to the Shrira equation ⋮ On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations

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