We prove that a second-microlocal version of the Sato-Kashiwara determinant computes the
Newton polygon of determined systems of linear partial differential operators with constant …

Let $ X $ be a complex manifold, $ V $ a smooth involutive submanifold of $ T^* X $, $\cal M
$ a microdifferential system regular along $ V $, and $ F $ an $\mathbb {R} $-constructible …

The author propose what is the principal part of linear systems of partial differential
equations in the Cauchy problem through the normal form of systems in the meromorphic …

We study the solvability of partial differential operators with multiple characteristics, whose
characteristic varieties have singularities outside the zero-section of the cotangent bundle …

Extension Theorems for the Distribution Solutions to D-Modules with Regular Singularities
Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 128 …

The micro-support of sheaves is a tool to describe local propagation results. A natural
problem is then to give sufficient conditions to get global propagation results from the …

Consider the Gevrey ultradifferentiable function or ultradistribution solution sheaf complexes
to a system of analytic linear differential equations. Then a bound of their microsupports is …

For systems of analytic linear differential equation with regular singularities in the sense of
Kashiwara–Oshima, the microlocal Cauchy problem for distribution solutions in the …

Consider the Gevrey ultradifferentiable function or ultradistribution solution sheaf com‐
plexes to a system of analytic linear differential equations. Then a bound of their microsup …

Let $ f: X\to Y $ be a smooth morphism of complex analytic manifolds and let $ F $ be an
$\mathbb {R} $-constructible complex on $ Y $. Let $\cal {M} $ be a coherent $\shd_X …