Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions (Q6185758)

scientific article; zbMATH DE number 7785093

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English	Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions	scientific article; zbMATH DE number 7785093

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instance of

scholarly article

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title

Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions (English)

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Vietnam Journal of Mathematics

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publication date

8 January 2024

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full work available at URL

https://arxiv.org/abs/2003.01468

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zbMATH Keywords

Klein-Gordon equations

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well-posedness

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scattering

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profile decomposition

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large scale profile

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MaRDI profile type

MaRDI publication profile

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cites work

On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations

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Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations

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Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$

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Global well-posedness and scattering for the defocusing, $L^2$-critical, nonlinear Schrödinger equation when $d=2$

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Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1

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Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state

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The global Cauchy problem for the nonlinear Klein-Gordon equation

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Q3726637

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Scattering threshold for the focusing nonlinear Klein-Gordon equation

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Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation

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Scattering for the one-dimensional Klein–Gordon equation with exponential nonlinearity

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Scattering and blow-up for the focusing nonlinear Klein-Gordon equation with complex-valued data

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Instability for standing waves of nonlinear Klein-Gordon equations via mountain-pass arguments

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Scattering for the cubic Klein–Gordon equation in two space dimensions

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The cubic nonlinear Schrödinger equation in two dimensions with radial data

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The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

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Global dynamics above the ground state energy for the one-dimensional NLKG equation

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Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

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$L^p-L^q$ estimates for the Klein-Gordon equation

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Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions

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Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions

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Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions

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Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions

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From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations

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Q4237139

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Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2

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Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations

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Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation

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Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation

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Invariant manifolds and dispersive Hamiltonian evolution equations

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Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption

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Saddle points and instability of nonlinear hyperbolic equations

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A sharp bilinear restriction estimate for paraboloids

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Q5475508

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Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

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Minimal-mass blowup solutions of the mass-critical NLS

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Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

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Identifiers

zbMATH Open document ID

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10.1007/s10013-023-00616-4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6185758