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arXiv · 2310.00979

Gevrey WKB method for PDO's of real principal type

Richard Lascar·Ivan Moyano
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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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Richard Lascar, Ivan Moyano. 2023-10-02. Gevrey WKB method for PDO's of real principal type. https://arxiv.org/abs/2310.00979

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