Remark on the concentration phenomenon for the nonlinear Schrödinger equations with a repulsive potential

DOI10.1007/S44198-024-00166-4OpenAlexW4391390143MaRDI QIDQ6152178

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Publication date: 12 February 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-024-00166-4

zbMATH Keywords

nonlinear Schrödinger equationblow-up solutionconcentration phenomenonrepulsive harmonic potential

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Cites Work

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• Stable self-similar blow-up dynamics for slightly \(L^{2}\) super-critical NLS equations
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Standing ring blow up solutions to the \(N\)-dimensional quintic nonlinear Schrödinger equation
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Existence of solitary waves in higher dimensions
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
• Sharp upper and lower bounds on the blow-up rate for nonlinear Schrödinger equation with potential
• The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
• On collapsing ring blow-up solutions to the mass supercritical nonlinear Schrödinger equation
• Existence and stability of a solution blowing up on a sphere for an \(L^2\)-supercritical nonlinear Schrödinger equation
• Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power
• 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
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications
• On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

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