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