Nash-Moser iteration and singular perturbations

DOI10.1016/j.anihpc.2011.05.001zbMath1237.47066arXiv0907.4661OpenAlexW2065985478MaRDI QIDQ719441

Benjamin Texier, Kevin Zumbrun

Publication date: 10 October 2011

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/0907.4661

zbMATH Keywords

loss of derivativesquasilinear Schrödinger equationsquasilinear hyperbolic systemsloss of powersNash-Moser type iteration

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) NLS equations (nonlinear Schrödinger equations) (35Q55) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

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