小池達也 | 京都大学理学研究科

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概要

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著作論文

Virtual turning points and isomonodromic deformations : On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems(New Trends and Applications of Complex Asymptotic Analysis : around dynamical systems, summability, conti
A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation (Microlocal Analysis and Related Topics)
A background story and some know-how of virtual turning points (Recent Trends in Exponential Asymptotics)
On the exact WKB analysis of microdifferential operators of WKB type (Microlocal Analysis and Asymptotic Analysis)
WKB型微分作用素に対するStokes図形の具体例に就いて (双曲形方程式と非正則度)
超局所微分作用素の完全WKB解析 (高階 Painleve 方程式の Stokes 図形の西川現象)
野海・山田方程式系のWKB解析に向けて (微分方程式の変形と漸近解析)
On the exact WKB analysis for operators admitting infnitely many phases (Asymptotic Analysis and Microlocal Analysis of PDE)
無限個のphaseを持つある作用素のStokes geometryについて (完全最急降下法)
WKB法による固有値問題の解 (固有値問題のひろがり--応用がひきおこす数学的現象)
On a connection problem of simple pole type operators of second order in exact WKB analysis (Deformation of linear differential equations and their virtual turning points)
On the exact WKB analysis for the fourth Painleve hierarchy (Recent Trends in Exponential Asymptotics)
On the complete description of the Stokes geometry for the first Painleve hierarchy (Microlocal Analysis and Asymptotic Analysis)
On the zero-set of some entire function of two complex variables arising from a physical problem (Global and asymptotic analysis of differential equations in the complex domain)
On a connection problem for higher order linear ordinary differential equations (Deformation of differential equations and asymptotic analysis)
On "new" turning points associated with regular singular points in the exact WKB analysis (Microlocal Analysis and PDE in the Complex Domain)
Exact WKB analysis for Schrodinger equations with periodic potentials
Exact WKB analysis of anharmonic oscillators.(Geometric methods in asymptotic analysis)
非調和振動子の固有値の摂動級数について(完全WKB解析と複素フーリエ解析)
Asymptotic behavior of perturbation series of eigenvalues for anharmonic oscillators.
On perturbation series of eigenvalues of anharmonic oscillators.(Algebraic Analysis of Singular Perturbations)
1次元シュレーディンガー方程式の完全WKB解析 : 基礎理論と最近の発展について (準古典解析における諸問題)

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