Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A stationary phase type estimate
HTML articles powered by AMS MathViewer

by T. Alazard, N. Burq and C. Zuily PDF
Proc. Amer. Math. Soc. 145 (2017), 2871-2880 Request permission

Abstract:

The purpose of this note is to prove a stationary phase estimate well adapted to parameter dependent phases. In particular, no discussion is made on the positions (and behavior) of critical points, no lower or upper bound on the gradient of the phase is assumed, and the dependence of the constants with respect to derivatives of the phase and symbols is explicit.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 35A23, 42B20, 35C15
  • Retrieve articles in all journals with MSC (2010): 35A23, 42B20, 35C15
Additional Information
  • T. Alazard
  • Affiliation: Département de Mathématiques, UMR 8553 du CNRS, Ecole Normale Supérieure, 45, rue d’Ulm 75005 Paris Cedex, France
  • MR Author ID: 749193
  • N. Burq
  • Affiliation: Laboratoire de Mathématiques d’Orsay, UMR 8628 du CNRS, Université Paris-Sud, 91405 Orsay Cedex, France
  • MR Author ID: 315457
  • C. Zuily
  • Affiliation: Laboratoire de Mathématiques d’Orsay, UMR 8628 du CNRS, Université Paris-Sud, 91405 Orsay Cedex, France
  • MR Author ID: 187710
  • Received by editor(s): January 8, 2016
  • Received by editor(s) in revised form: February 12, 2016, March 7, 2016, and March 14, 2016
  • Published electronically: February 23, 2017
  • Additional Notes: The authors were supported in part by Agence Nationale de la Recherche project ANAÉ ANR-13-BS01-0010-03. The second author was supported in part by Agence Nationale de la Recherche project NOSEVOL, 2011 BS01019 01.
  • Communicated by: Michael Hitrik
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 2871-2880
  • MSC (2010): Primary 35A23, 42B20, 35C15
  • DOI: https://doi.org/10.1090/proc/13199
  • MathSciNet review: 3637937