A nonlinear Schrödinger equation with Coulomb potential (Q2080970)

scientific article; zbMATH DE number 7600105

Language	Label	Description	Also known as
English	A nonlinear Schrödinger equation with Coulomb potential	scientific article; zbMATH DE number 7600105

Statements

instance of

scholarly article

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title

A nonlinear Schrödinger equation with Coulomb potential (English)

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published in

Acta Mathematica Scientia. Series B. (English Edition)

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publication date

12 October 2022

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full work available at URL

https://arxiv.org/abs/1809.06685

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zbMATH Keywords

nonlinear Schrödinger equations

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long range potential

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global well-posedness

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blow-up

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scattering

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Nonlinear scalar field equations. I: Existence of a ground state

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The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

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Existence and uniqueness of positive solutions of semilinear elliptic equations with Coulomb potentials on \({\mathbb{R}}^ 3\)

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Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

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Q4434430

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Global existence of solutions to the Cauchy problem for time-dependent Hartree equations

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Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>

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Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)

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Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation

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Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems

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Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4

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A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

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A new proof of scattering below the ground state for the non-radial focusing NLS

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Scattering for the nonradial 3D cubic nonlinear Schrödinger equation

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On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case

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Scattering theory in the energy space for a class of nonlinear Schrödinger equations

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Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations

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A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation

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Scattering for a nonlinear Schrödinger equation with a potential

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Q3705827

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Endpoint Strichartz estimates

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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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Sobolev spaces adapted to the Schrödinger operator with inverse-square potential

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The focusing cubic NLS with inverse-square potential in three space dimensions.

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The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

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An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials

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Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

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Dynamical ionization bounds for atoms

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Thomas-fermi and related theories of atoms and molecules

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Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential

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Q3286217

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Strichartz estimates for Schrödinger equations with slowly decaying potentials

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Convolution operators and L(p, q) spaces

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ON THE CAUCHY PROBLEM IN BESOV SPACES FOR A NON-LINEAR SCHRÖDINGER EQUATION

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Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4

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Imaginary powers of Laplace operators

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\(L^ p\) estimates for Schrödinger operators with certain potentials

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Q5475508

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Q4889891

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The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

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Scattering theory for nonlinear Schrödinger equations with inverse-square potential

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On the Cauchy problem of 3D energy-critical Schrödinger equations with subcritical perturbations

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10473-022-0606-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2080970