Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity (Q6648763)

scientific article; zbMATH DE number 7954249

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English	Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity	scientific article; zbMATH DE number 7954249

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instance of

scholarly article

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title

Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity (English)

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author

Jumpei Kawakami

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published in

Journal of Mathematical Analysis and Applications

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publication date

5 December 2024

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zbMATH Keywords

nonlinear Schrödinger equation

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strong magnetic confinement

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harmonic oscillator

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resonant system

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high frequency averaging

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super-quintic nonlinearity

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MaRDI profile type

Publication

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cites work

On the well-posedness of the Cauchy problem for some nonlocal nonlinear Schrödinger equations

0 references

Scattering for nonlinear Schrödinger equation under partial harmonic confinement

0 references

Global dynamics below the ground states for NLS under partial harmonic confinement

0 references

Existence and stability of standing waves for supercritical NLS with a partial confinement

0 references

The Strongly Confined Schrödinger–Poisson System for the Transport of Electrons in a Nanowire

0 references

Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity

0 references

The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential

0 references

Analysis of (CR) in Higher Dimension

0 references

Remarks on nonlinear Schrödinger equations with harmonic potential

0 references

A Sharp Inequality for the Strichartz Norm

0 references

Q4434430

0 references

On the rigorous derivation of the 3D cubic nonlinear Schrödinger equation with a quadratic trap

0 references

Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials

0 references

On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide $\mathbb{R}^2 \times \mathbb{T}$

0 references

On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder

0 references

Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold

0 references

Global existence versus finite time blowup dichotomy for the dispersion managed NLS

0 references

Well-posedness of dispersion managed nonlinear Schrödinger equations

0 references

On dispersion managed nonlinear Schrödinger equations with lumped amplification

0 references

Averaging of dispersion managed nonlinear Schrödinger equations

0 references

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

0 references

Global well-posedness and scattering for the defocusing, $L^{2}$-critical, nonlinear Schrödinger equation when $d = 1$

0 references

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

0 references

Scattering for the nonradial 3D cubic nonlinear Schrödinger equation

0 references

Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping

0 references

Maximizers for the Strichartz inequality

0 references

Averaging of nonlinear Schrödinger equations with strong magnetic confinement

0 references

A remark on the Strichartz inequality in one dimension

0 references

On the continuous resonant equation for NLS. I: Deterministic analysis.

0 references

On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T<sup>2</sup>

0 references

MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS

0 references

Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping

0 references

Strichartz estimates for partially periodic solutions to Schrödinger equations in $4d$ and applications

0 references

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

0 references

On sharp Strichartz inequalities in low dimensions

0 references

Scattering threshold for the focusing nonlinear Klein-Gordon equation

0 references

Global well-posedness of the energy-critical defocusing NLS on ${\mathbb{R} \times \mathbb{T}^3}$

0 references

The energy-critical quantum harmonic oscillator

0 references

Averaging of strong magnetic nonlinear Schrödinger equations in the energy space

0 references

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

0 references

Energy-Critical NLS with Quadratic Potentials

0 references

Q5167506

0 references

On the existence of a maximizer for the Strichartz inequality

0 references

On long time behavior of the focusing energy-critical NLS on $\mathbb{R}^d\times\mathbb{T}$ via semivirial-vanishing geometry

0 references

Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement

0 references

Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement

0 references

Random-weighted Sobolev inequalities on $\mathbb{R}^d$ and application to Hermite functions

0 references

Strong magnetic field limit in a nonlinear Iwatsuka-type model

0 references

Q3457022

0 references

Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation

0 references

On 2D nonlinear Schrödinger equations with data on $\mathbb{R} \times \mathbb{T}$

0 references

A pseudoconformal compactification of the nonlinear Schrödinger equation and applications

0 references

Well-posedness and scattering for nonlinear Schrödinger equations on $\mathbb{R}^d \times \mathbb{T}$ in the energy space

0 references

Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity

0 references

Global Well-Posedness and Scattering for Mass-Critical, Defocusing, Infinite Dimensional Vector-Valued Resonant Nonlinear Schrödinger System

0 references

On scattering asymptotics for the 2D cubic resonant system

0 references

Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$

0 references

Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide ℝ2 × 𝕋2

0 references

On scattering for the defocusing nonlinear Schrödinger equation on waveguide $\mathbb{R}^m \times \mathbb{T}$ (when $m = 2, 3)$

0 references

Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space

0 references

Stabilizing effects of dispersion management

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Identifiers

DOI

10.1016/j.jmaa.2024.128932

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6648763