Microlocal analytic smoothing effect for the Schrödinger equation
type: Item
instance of: scholarly article
title: Microlocal analytic smoothing effect for the Schrödinger equation
zbMATH Open document ID: 0941.35014
DOI: 10.1215/S0012-7094-99-10003-2
published in: Duke Mathematical Journal
publication date: 2000-03-27T00:00:00Z
review text: The purpose of the work is to study the microlocal analytic smoothness of solutions of the initial value problem for the linear Schrödinger equation with variable coefficients. More precisely, the behavior at infinity of the initial data is related to the microlocal analytic smoothness of solutions. These results are extensions to the analytic case of those by \textit{W. Craig, T. Kappeler} and \textit{W. Strauss} [Commun. Pure Appl. Math. 48, No. 8, 769-860 (1995; Zbl 0856.35106)], which concern the \(C^\infty\)-case. Here, the method of proof relies on \textit{J. Sjöstrand} [Singularites analytiques microlocales. Astérisque 95, 1-166 (1982; Zbl 0524.35007)], and is entirely different from that of Craig, Kappeler, and Srauss.
reviewed by: Grzegorz Karch
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 1425251
zbMATH Keywords: microlocal analytic smoothing effect
zbMATH Keywords: Schrödinger equation
author: L. Robbiano
author: Claude Zuily
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1425251