Masafumi Yoshino

PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA

This paper concerns perturbations of smooth vector fields on

Rapidly convergent iteration method for simultaneous normal forms of commuting maps

\mathbb{T}^n

First order pseudodifferential operators on the torus: Normal forms, diophantine phenomena and global hypoellipticity

(constant if

Predicting the phenotypic response of resource-competing communities to environmental change.

n\geq3

Analytic continuation of Borel sum of formal solution of semilinear partial differential equation

) with zeroth-order

Global hypoellipticity of a Mathieu operator

C^\infty

Parametric Borel Summability of Partial Differential Equations of Irregular Singular Type

and Gevrey

WKB analysis and Poincaré theorem for vector fields

G^\sigma

GLOBAL PROPERTIES IN SPACES OF GENERALIZED FUNCTIONS ON THE TORUS FOR SECOND ORDER DIFFERENTIAL OPERATORS WITH VARIABLE COEFFICIENTS

,

Gevrey Order of Formal Power Series Solutions of Inhomogeneous Partial Differential Equations with Constant Coefficients

\sigma\geq1