On minimal nonscattering solution for focusing mass-subcritical nonlinear Schrödinger equation

DOI10.1080/03605302.2017.1286672zbMath1373.35289arXiv1301.1742OpenAlexW2963839549MaRDI QIDQ4588980

Satoshi Masaki

Publication date: 6 November 2017

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

Full work available at URL: https://arxiv.org/abs/1301.1742

zbMATH Keywords

minimization problemnonlinear Schrödinger equationthreshold solutioncritical elementnonlinear scattering problemmass-subcritical casenonscattering solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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The radial mass-subcritical NLS in negative order Sobolev spaces ⋮ Large data mass-subcritical NLS: critical weighted bounds imply scattering ⋮ Scattering for stochastic nonlinear Schrödinger equations ⋮ Scattering for solutions of a dissipative nonlinear Schrödinger equation ⋮ A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system

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