Higher-order nonlinear Schrödinger equations with singular data

DOI10.1007/s00028-017-0400-8zbMath1390.35328OpenAlexW2624749489MaRDI QIDQ1745977

Nakao Hayashi, Takayoshi Ogawa, Pavel I. Naumkin

Publication date: 18 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00028-017-0400-8

zbMATH Keywords

local existenceweighted Sobolev spacehigher-order nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Unnamed Item
• Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
• Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
• Critical nonlinear Schrödinger equations with data in homogeneous weighted \(\mathbf L^2\) spaces
• On a system of quadratic nonlinear Schrödinger equations and scale invariant spaces in 2D.
• Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity
• Cauchy problem of nonlinear Schrödinger equation with initial data in Sobolev space 𝑊^{𝑠,𝑝} for 𝑝<2
• On the Semirelativistic Hartree‐Type Equation
• Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions

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