Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation

DOI10.3934/dcdsb.2018323zbMath1420.35373OpenAlexW2906931817MaRDI QIDQ2314786

Congming Peng, Dun Zhao

Publication date: 30 July 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018323

zbMATH Keywords

global existenceblow-up solutionsinhomogeneous fractional nonlinear Schrödinger equationlocalized virial estimate

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (7)

On stability and instability of standing waves for the inhomogeneous fractional Schrödinger equation ⋮ Fractional Choquard equations with an inhomogeneous combined non-linearity ⋮ Unnamed Item ⋮ A note on inhomogeneous fractional Schrödinger equations ⋮ Local well‐posedness of a critical inhomogeneous Schrödinger equation ⋮ Long‐time dynamics for the radial focusing fractional INLS ⋮ Energy scattering for the focusing fractional generalized Hartree equation

This page was built for publication: Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation