The energy-critical quantum harmonic oscillator

DOI10.1080/03605302.2015.1095767zbMath1342.35340arXiv1406.2289OpenAlexW1623453019MaRDI QIDQ2810594

Casey Jao

Publication date: 3 June 2016

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

Full work available at URL: https://arxiv.org/abs/1406.2289

zbMATH Keywords

nonlinear Schrödinger equationwellposednessenergy-critical

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Refined mass-critical Strichartz estimates for Schrödinger operators ⋮ Energy-critical NLS with potentials of quadratic growth ⋮ The energy-critical NLS with inverse-square potential ⋮ Asymptotic Behavior of the Nonlinear Schrödinger Equation with Harmonic Trapping ⋮ The energy-critical nonlinear wave equation with an inverse-square potential ⋮ Mass-critical inverse Strichartz theorems for 1d Schrödinger operators ⋮ Enhancement of the Zakharov–Glassey’s method for Blow-up in nonlinear Schrödinger equations

Cites Work

• Unnamed Item
• Nonlinear Schrödinger equation with time dependent potential
• The energy-critical defocusing NLS on \({\mathbb{T}}^{3}\)
• Global well-posedness of the energy-critical defocusing NLS on \({\mathbb{R} \times \mathbb{T}^3}\)
• On the mass-critical generalized KdV equation
• Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
• Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
• Remarks on convergence of the Feynman path integrals
• Best constant in Sobolev inequality
• Remarks on nonlinear Schrödinger equations with harmonic potential
• On the global well-posedness of energy-critical Schrödinger equations in curved spaces
• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
• Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
• On the blow up phenomenon of the critical nonlinear Schrödinger equation
• Global existence results for nonlinear Schrödinger equations with quadratic potentials
• Scattering for the cubic Klein–Gordon equation in two space dimensions
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
• The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
• Energy-Critical NLS with Quadratic Potentials
• Endpoint Strichartz estimates
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications
• The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
• Stability of attractive Bose-Einstein condensates
• On the defect of compactness for the Strichartz estimates of the Schrödinger equations

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