Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential

DOI10.1007/s00033-015-0501-6zbMath1322.35123arXiv1409.5759OpenAlexW2076758038MaRDI QIDQ493614

Rémi Carles

Publication date: 3 September 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5759

zbMATH Keywords

Cauchy problemnonlinear Schrödinger equationunbounded potential

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Scattering for NLS with a delta potential ⋮ Nonlinear Stark--Wannier Equation ⋮ Double scattering channels for 1\(D\) NLS in the energy space and its generalization to higher dimensions ⋮ On the Cauchy problem for the Hartree approximation in quantum dynamics ⋮ Nonlinear bound states with prescribed angular momentum ⋮ On stability of rotational 2D binary Bose-Einstein condensates ⋮ On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions ⋮ Derivation of the tight-binding approximation for time-dependent nonlinear Schrödinger equations ⋮ Enhancement of the Zakharov–Glassey’s method for Blow-up in nonlinear Schrödinger equations

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