Concentration for blow-up solutions of semi-relativistic Hartree equations of critical type

DOI10.1016/J.AML.2018.03.020OpenAlexW2794936844WikidataQ130112281 ScholiaQ130112281MaRDI QIDQ1644134

Zhiyong Wang, Yanfang Gao

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.020

zbMATH Keywords

blow-upconcentrationsemi-relativistic Hartree equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Galactic and stellar structure (85A15)

Cites Work

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• L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
• On radial solutions of semi-relativistic Hartree equations
• Global well-posedness and scattering for the mass-critical Hartree equation with radial data
• Well-posedness for semi-relativistic Hartree equations of critical type
• Boson stars as solitary waves
• Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory
• On the blow up phenomenon of the critical nonlinear Schrödinger equation
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Mean field dynamics of boson stars
• Blowup for nonlinear wave equations describing boson stars

Related Items (4)

Blow-up for the focusing \(\dot H^{1/2}\)-critical Hartree equation with radial data ⋮ Blow-up profile of pseudo-relativistic Hartree equations with singular potentials ⋮ Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data ⋮ A blow‐up result for the travelling waves of the pseudo‐relativistic Hartree equation with small velocity

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