On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation
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Publication:1633408
DOI10.3934/cpaa.2019034zbMath1402.35298arXiv1801.08049OpenAlexW2896926430MaRDI QIDQ1633408
Publication date: 20 December 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08049
NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
Related Items (11)
Fractional Choquard equations with an inhomogeneous combined non-linearity ⋮ A note on the fractional Schrödinger equation of Choquard type ⋮ A study on blowup solutions to the focusing L2-supercritical nonlinear fractional Schrödinger equation ⋮ On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation ⋮ Numerical approximation of the fractional Laplacian on \(\mathbb{R}\) using orthogonal families ⋮ Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation ⋮ Global attractor for a one dimensional weakly damped half-wave equation ⋮ Sharp threshold of global well-posedness vs finite time blow-up for a class of inhomogeneous Choquard equations ⋮ Space-Time Fractional Nonlinear Schrödinger Equation ⋮ Blow-up criteria for fractional nonlinear Schrödinger equations ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations
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