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Well-Posedness and Scattering for Nonlinear Schrödinger Equations with a Derivative Nonlinearity at the Scaling Critical Regularity

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Publication:2816486
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DOI10.1619/fesi.58.431zbMath1348.35234arXiv1311.3119OpenAlexW3102142241MaRDI QIDQ2816486

Hiroyuki Hirayama

Publication date: 23 August 2016

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3119


zbMATH Keywords

Cauchy problemwell-posednessSchrödinger equationbounded \(p\)-variationscaling criticalmultilinear estimate


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items

Small data well-posedness for derivative nonlinear Schrödinger equations ⋮ Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity ⋮ Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity



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