Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$ (Q4985460)

scientific article; zbMATH DE number 7337205

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English	Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$	scientific article; zbMATH DE number 7337205

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instance of

scholarly article

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title

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

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SIAM Journal on Mathematical Analysis

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publication date

23 April 2021

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full work available at URL

https://arxiv.org/abs/2009.01116

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zbMATH Keywords

NLS

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global well-posedness

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waveguide manifold

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Sobolev embedding

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profile decomposition

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MaRDI profile type

MaRDI publication profile

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cites work

Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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The proof of the $l^2$ decoupling conjecture

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The cauchy problem for the critical nonlinear Schrödinger equation in Hs

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

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

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

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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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Defocusing Nonlinear Schrödinger Equations

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

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Sobolev spaces on Riemannian manifolds

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The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds

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Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb T^3)$

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

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The energy-critical defocusing NLS on ${\mathbb{T}}^{3}$

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

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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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Q5167506

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Scale-invariant Strichartz estimates on tori and applications

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

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Global regularity for the energy-critical NLS on $\mathbb S^3$

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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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Best constant in Sobolev inequality

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Q5475508

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Global well-posedness for the energy-critical focusing nonlinear Schrödinger equation on $\mathbb{T}^4$

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

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Identifiers

zbMATH Open document ID

1464.35334

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DOI

10.1137/20M1364953

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4985460