Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems

DOI10.4171/aihpc/56arXiv1906.12290OpenAlexW2954202235MaRDI QIDQ6075021

Pietro Baldi, Emanuele Haus

Publication date: 20 October 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12290

zbMATH Keywords

singular perturbationCauchy problemnonlinear Schrödinger equationnonlinear Schrödinger systemNash-Moser theoremsize of data

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Initial value problems for second-order hyperbolic systems (35L52)

Cites Work

• Small solutions to nonlinear Schrödinger equations
• The Cauchy problem for quasi-linear Schrödinger equations
• Nash-Moser iteration and singular perturbations
• Para-differential calculus and applications to the Cauchy problem for nonlinear systems
• The boundary problems of physical geodesy
• On Kato-Ponce and fractional Leibniz
• A surjection theorem for maps with singular perturbation and loss of derivatives
• On an endpoint Kato-Ponce inequality.
• A Nash-Moser-Hörmander implicit function theorem with applications to control and Cauchy problems for PDEs
• A short proof of commutator estimates
• Dispersive stabilization

This page was built for publication: Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems