Well-Posedness and Blow-Up for the Fractional Schrödinger- Choquard Equation

DOI10.4208/JPDE.V36.N1.6OpenAlexW4312072465WikidataQ117217792 ScholiaQ117217792MaRDI QIDQ5880863

Publication date: 6 March 2023

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v36.n1.6

zbMATH Keywords

well-posedness blow-up fractional Schrödinger equation Hartree-type nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Cites Work

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Blowup for fractional NLS
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Sharp threshold of blow-up and scattering for the fractional Hartree equation
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Stability of standing waves for the fractional Schrödinger-Hartree equation
Stability of standing waves for the fractional Schrödinger-Choquard equation
Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
On fractional Schrödinger systems of Choquard type
On the orbital stability of fractional Schrödinger equations
On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
Numerical study of fractional nonlinear Schrödinger equations
Strichartz estimates in spherical coordinates
On finite time blow-up for the mass-critical Hartree equations

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