Gevrey WKB method for PDO's of real principal type

2023/10/02 by Richard Lascar, Lascar, Richard, Iván Moyano +1
Computer Science · Engineering · #Advanced Electrical Measurement Techniques #Analysis of PDEs (math.AP) #Digital Filter Design and Implementation #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2310.00979

openalex publication_date 2023/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we investigate the Gevrey version of the WKB method known in the smooth and analytic categories. We use conjugation by FIO's and sketch a calculus of FIO's in our setting which the semi classic one. We have sub exponential remainders with respect to the parameter. We sketch also an alternative method using Gevrey local FBI transforms.

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