Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold (Q2227601)

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

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instance of

scholarly article

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title

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

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Journal of Mathematical Analysis and Applications

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publication date

15 February 2021

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full work available at URL

https://arxiv.org/abs/1911.00324

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zbMATH Keywords

nonlinear Schrödinger equation

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waveguide manifold

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well-posedness

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decoupling method

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Strichartz estimate

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bilinear estimate

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MaRDI profile type

MaRDI publication profile

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cites work

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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Q4434430

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The cauchy problem for the critical nonlinear Schrödinger equation in Hs

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

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Strichartz estimates for the Schrödinger equation on irrational tori

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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 focusing, cubic Schrödinger equation in dimension d=4

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Defocusing Nonlinear Schrödinger Equations

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On a bilinear Strichartz estimate on irrational tori

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On a class of nonlinear Schrödinger equations. II. Scattering theory, general case

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

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Strichartz estimates for Schrödinger equations on irrational tori

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Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space'' [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]

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

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

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

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Global well-posedness and scattering for the defocusing quintic NLS in three dimensions

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Scale-invariant Strichartz estimates on tori and applications

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Dispersive estimates for principally normal pseudodifferential operators

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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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Q5475508

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Small Data Scattering for the Nonlinear Schrödinger Equation on Product Spaces

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

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

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Identifiers

zbMATH Open document ID

1458.35384

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DOI

10.1016/j.jmaa.2020.124654

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2227601