Blow-up for the focusing \(\dot H^{1/2}\)-critical Hartree equation with radial data

DOI10.1016/J.JDE.2013.07.014zbMath1284.35399OpenAlexW2052271892MaRDI QIDQ2637633

Yanfang Gao

Publication date: 13 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2013.07.014

zbMATH Keywords

Cauchy problemblow-uplower boundfocusing Hartree equationscaling invariant norm

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Blow-up in context of PDEs (35B44)

Related Items (2)

On the management fourth-order Schrödinger-Hartree equation ⋮ On blow up for a class of radial Hartree type equations

Cites Work

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• Stable self-similar blow-up dynamics for slightly \(L^{2}\) super-critical NLS equations
• On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
• Scattering for the focusing \(\dot H^{1/2}\)-critical Hartree equation in energy space
• Global well-posedness and scattering for the mass-critical Hartree equation with radial data
• On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• On a class of non linear Schrödinger equations with non local interactions
• Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
• On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
• On the blow up phenomenon of the critical nonlinear Schrödinger equation
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Blow up of the critical norm for some radial <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> super critical nonlinear Schrödinger equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
• [https://portal.mardi4nfdi.de/wiki/Publication:4257011 Asymptotic and limiting profiles of blowup solutions of the nonlinear Schr�dinger equation with critical power]
• On the blow-up phenomenon for the mass-critical focusing Hartree equation in R⁴
• On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class

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