A stationary phase type estimate

T. Alazard; N. Burq; C. Zuily

doi:10.1090/proc/13199

A stationary phase type estimate

T. Alazard, N. Burq, C. Zuily

Laboratoire de Mathématiques d'Orsay

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2871-2880
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	7
DOIs	https://doi.org/10.1090/proc/13199
Publication status	Published - 1 Jan 2017

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title = "A stationary phase type estimate",

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.",

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AB - 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.

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JO - Proceedings of the American Mathematical Society

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A stationary phase type estimate

Abstract

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