Exhaustive generation of atomic combinatorial differential operators

D As an immediate corollary of Theorem 4.2 one obtains the following generalization of a fundamental result of Harish-Chandra (see [9], Theo- rem 4 or (1.2)) from the diagonal case

For variable coefficients a sufficient condition for hypoel- lipticity has been given by several authors (see [2], [3], [4], [6]), namely that the operators with constant

In this note, we start elaborating on one aspect of this hope by showing (theorem 7.3) how to construct a functor from the category of crystals on Bhatt-Scholze’s q-crystalline

The following results establish finite generation for differential operators on quotients by commutative groups, but only for the case of the trivial line bundle.. ANNALES

In the last section, we show that one can use paradifferential methods to get a G˚arding inequality with a gain of half a derivative for general differential operators with

of partial differential equations of hyperbolic and ultraparabolic type, ending.. with an equation arising from the stochastic control

lutions of elliptic partial differential equations with general boundary conditions II, Comm. NIRENBERG, Properties of solutions of ordinary differential equa- tions in

For convenience, we recall that this theorem states that, if C, here DG D M, is a cofibrantly generated symmetric monoidal model category, which satisfies the monoid axiom and