Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations

DOI10.1215/00192082-8165582zbMath1435.35344arXiv1904.11826OpenAlexW3009747396MaRDI QIDQ2305597

Xing Cheng

Publication date: 11 March 2020

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11826

zbMATH Keywords

scatteringnonlinear Schrödinger (NLS) equationlobal well-posedness

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime ⋮ Ground state energy threshold and blow-up for NLS with competing nonlinearities ⋮ Standing waves with prescribed \(L^2\)-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities ⋮ Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions ⋮ On the sharp scattering threshold for the mass-energy double critical nonlinear Schrödinger equation via double track profile decomposition ⋮ Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: global boundedness, blow-up and no scattering in the energy space ⋮ Orbital stability vs. scattering in the cubic-quintic Schrödinger equation ⋮ Threshold scattering for the 2D radial cubic-quintic NLS

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