Unconditional uniqueness results for the nonlinear Schrödinger equation

DOI10.1142/S021919971850058XzbMath1428.35516arXiv1804.10631MaRDI QIDQ5237235

Vedran Sohinger, Sebastian Herr

Publication date: 17 October 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10631

zbMATH Keywords

nonlinear Schrödinger equationFourier-Lebesgue spacesGross-Pitaevskii hierarchyunconditional uniqueness

Mathematics Subject Classification ID

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 (13)

Quantitative derivation and scattering of the 3D cubic NLS in the energy space ⋮ The unconditional uniqueness for the energy-supercritical NLS ⋮ Unconditional uniqueness for the Benjamin-Ono equation ⋮ The derivation of the compressible Euler equation from quantum many-body dynamics ⋮ Unconditional local well-posedness for periodic NLS ⋮ The rigorous derivation of the \(\mathbb{T}^2\) focusing cubic NLS from 3D ⋮ Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line ⋮ Unnamed Item ⋮ Unconditional uniqueness of higher order nonlinear Schrödinger equations ⋮ Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces ⋮ Derivation of the nonlinear Schrödinger equation with a general nonlinearity and Gross–Pitaevskii hierarchy in one and two dimensions ⋮ Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces ⋮ Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on

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