Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

# On a Schrödinger operator with a merging pair of a simple pole and a simple turning point, II Computation of Voros coefficients and its consequence

speaker: Tatsuya Koike (Kobe University)

abstract: In Part I, it is shown that Schrödinger equations with a merging pair of a simple pole and a simple turning point (MPPT equations, for short) are transformed to the canonical form. In this Part II, we consider the analytic properties of the Borel transforms of WKB solutions of the canonical equation (e.g., the locations of singularities, alien derivatives at these singular points, etc.). By using these results, we also discuss the analytic porperties of the Borel transforms of WKB solutions of MPPT equations.

This is a joint work with S. Kamimoto (Univ. of Tokyo), T. Kawai (Kyoto univ.) and Y. Takei (Kyoto Univ.)

timetable:
Thu 15 Oct, 16:30 - 17:30, Aula Dini
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