Masatake Miyake

Newton polygons and Gevrey indices for linear partial differential operators

Newton polygons and formal Gevrey indices in the Cauchy-Goursat-Fuchs type equations

On Cauchy-Kowalevski's Theorem for General Systems

Global and local Goursat problems in a class of holomorphic or partially holomorphic functions

Convergence of formal solutions of first order singular nonlinear partial differential equations in the complex domain

Wiener-Hopf equation and Fredholm property of the Goursat problem in Gevrey space

Remarks on the formulation of the Cauchy problem for general system of ordinary differential equations

Structure of Formal Solutions of Nonlinear First Order Singular Partial Differential Equations in Complex Domain

Fredholm property of partial differential operators of irregular singular type

On k-summability of formal solutions for certain partial differential operators with polynomial coefficients