Critical nonlinear Schrödinger equations in higher space dimensions

DOI10.2969/jmsj/77127712zbMath1408.35173OpenAlexW2883956268MaRDI QIDQ1712758

Nakao Hayashi, Pavel I. Naumkin, Chun-Hua Li

Publication date: 31 January 2019

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1532678876

zbMATH Keywords

large time asymptoticshigher space dimensionscritical NLS equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D

Cites Work

• Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity
• Nonlinear Schrödinger systems in 2d with nondecaying final data
• The initial value problem for the cubic nonlinear Klein-Gordon equation
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• Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
• Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations
• 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
• Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
• Final state problem for the cubic nonlinear Klein–Gordon equation
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• On the Semirelativistic Hartree‐Type Equation

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