Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide ℝ2 × 𝕋2 (Q5237472)

scientific article; zbMATH DE number 7119284

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English	Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide ℝ2 × 𝕋2	scientific article; zbMATH DE number 7119284

Statements

instance of

scholarly article

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title

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

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author

Zehua Zhao

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published in

Journal of Hyperbolic Differential Equations

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publication date

18 October 2019

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full work available at URL

https://arxiv.org/abs/1710.09702

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zbMATH Keywords

NLS

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well-posedness

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scattering theory

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concentration compactness

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waveguide manifold

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MaRDI profile type

MaRDI publication profile

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cites work

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Q4434430

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Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case

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

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

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

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On the global well-posedness of energy-critical Schrödinger equations in curved spaces

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

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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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A sharp bilinear restriction estimate for paraboloids

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Q5475508

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A pseudoconformal compactification of the nonlinear Schrödinger equation and applications

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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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Well-posedness and scattering for the mass-energy NLS on $\mathbb{R}^n\times\mathcal{M}^k$

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Small Data Scattering for the Nonlinear Schrödinger Equation on Product Spaces

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

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Identifiers

zbMATH Open document ID

1428.35548

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DOI

10.1142/S0219891619500048

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5237472