Long‐time dynamics for the radial focusing fractional INLS (Q6193165)

scientific article; zbMATH DE number 7816053

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English	Long‐time dynamics for the radial focusing fractional INLS	scientific article; zbMATH DE number 7816053

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instance of

scholarly article

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title

Long‐time dynamics for the radial focusing fractional INLS (English)

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Mathematical Methods in the Applied Sciences

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publication date

12 March 2024

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full work available at URL

https://arxiv.org/abs/2211.11506

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zbMATH Keywords

blowup

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fractional NLS

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inhomogeneous nonlinearity

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Morawetz estimates

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nonlinear equations

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scattering

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virial identities

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MaRDI profile type

MaRDI publication profile

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cites work

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Boson stars as solitary waves

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From the long jump random walk to the fractional Laplacian

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The nonlinear Schrödinger equation. Singular solutions and optical collapse

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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Q5475508

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Local well-posedness for the inhomogeneous nonlinear Schrödinger equation

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Finite time/infinite time blow-up behaviors for the inhomogeneous nonlinear Schrödinger equation

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Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation

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Scattering below the ground state for the intercritical non-radial inhomogeneous NLS

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Blowup of \(H^1\) solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation

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Scattering theory in weighted L2 space for a class of the defocusing inhomogeneous nonlinear Schrödinger equation

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Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation

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Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equation

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Scattering for the radial focusing inhomogeneous NLS equation in higher dimensions

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On well posedness for the inhomogeneous nonlinear Schrödinger equation

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On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case

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Scattering for the non-radial inhomogeneous NLS

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A simple proof of scattering for the intercritical inhomogeneous NLS

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Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity

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Sharp global existence and blowing up results for inhomogeneous Schrödinger equations

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On a class of nonlinear inhomogeneous Schrödinger equation

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On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient

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Sharp constant of an improved Gagliardo-Nirenberg inequality and its application

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A note on inhomogeneous coupled Schrödinger equations

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Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity

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ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS

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Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension

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Remarks on some dispersive estimates

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Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations

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Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation

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Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation

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Scattering below ground state of focusing fractional nonlinear Schrödinger equation with radial data

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On the energy-critical fractional Schrödinger equation in the radial case

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Blowup for fractional NLS

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Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation

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Remarks on the inhomogeneous fractional nonlinear Schrödinger equation

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Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations

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A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity

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

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A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS

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\(H^1\)-scattering for systems of \(N\)-defocusing weakly coupled NLS equations in low space dimensions

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Bilinear virial identities and applications

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On the decay of solutions to a class of defocusing NLS

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Tensor products and correlation estimates with applications to nonlinear Schrödinger equations

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Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrödinger equation

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SOBOLEV INEQUALITIES WITH SYMMETRY

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Fourier Analysis and Nonlinear Partial Differential Equations

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

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Some new functional spaces

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Identifiers

arXiv ID

2211.11506

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6193165