Nonlocal nonlinear Schrödinger equations in \(\mathbb R^{3}\)

DOI10.1007/s00205-013-0612-1zbMath1293.35294OpenAlexW2053754739WikidataQ59299956 ScholiaQ59299956MaRDI QIDQ2435010

Jian Zhang, Zai-Hui Gan

Publication date: 3 February 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-013-0612-1

zbMATH Keywords

orbital instabilityfinite-time blow-upmagnetic Zakharov systemminimal energy standing wavethreshold of global existencevector nonlinear Schrödinger equation with magnetic field

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of plasmas (82D10) Blow-up in context of PDEs (35B44)

Related Items (4)

Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential ⋮ Unnamed Item ⋮ Global smooth solutions for the nonlinear Schrödinger equation with magnetic effect ⋮ Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma

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