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

2025/03/06 by Colmey, Benjamin, Lascar, Richard
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.04189

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^∞ and the analytic ones may be found in Hörmander (Hormander1985) and Sjöstrand (Sjöstrand1982). We present here three versions depending on the degree of entrance in the complex domain.

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