On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases

DOI10.1016/j.matpur.2019.10.003zbMath1439.35415arXiv1611.09674OpenAlexW2982666366MaRDI QIDQ2310805

Kazumasa Fujiwara, Tohru Ozawa, Vladimir Georgiev

Publication date: 6 April 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09674

zbMATH Keywords

global well-posednesssemirelativistic equationscaling critical casescaling subcritical case

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On the Cauchy problem for the nonlinear semi-relativistic equation in Sobolev spaces ⋮ Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions ⋮ Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation ⋮ Concerning ill-posedness for semilinear wave equations ⋮ Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential ⋮ Blowup dynamics for mass critical half-wave equation in 3D

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