Partial Differential Operators and Fourier Integral Operators in the Gevrey setting and applications

Benjamin Colmey; Richard Lascar

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arXiv · 2503.04189

Partial Differential Operators and Fourier Integral Operators in the Gevrey setting and applications

Benjamin Colmey·Richard Lascar

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Abstract

We state and prove here semiclassical results about the construction of asymptotic solutions by the WKB method for pseudo-differential equations of real principal type. It is a Gevrey version; the smooth $C^\infty$ and the analytic ones may be found in H\"ormander (Hormander1985) and Sj\"ostrand (Sj\"ostrand1982). We present here three versions depending on the degree of entrance in the complex domain.

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Benjamin Colmey, Richard Lascar. 2025-03-06. Partial Differential Operators and Fourier Integral Operators in the Gevrey setting and applications. https://arxiv.org/abs/2503.04189

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