Serre's reduction of linear systems of partial differential equations with holonomic adjoints

In this chapter, we gave an explicit method to compute the exponential parts of completely integrable Pfaffian systems with normal crossings in several variables. This gives the

Several approaches to deal efficiently with equations of the form (2.17) with a linear stiff part can be found in the literature: implicit-explicit (IMEX) methods, in which the

In [5] the main results of the present paper are used to characterize the homogeneous differential operators P(D) that admit a continuous linear right inverse on C7°°(^), fl,

The principal local result, The Local Ex- tension Theorem (Appendix 6), is also the main step in all the appli- cations of the Convex Integration technique to solving open and

d) Harmonic integrals on strongly pseudoconvex manifolds, II, Annals of Math. MORREY, A variational method in the theory of harmonic integrals, II, Amer. Journal of Math.,

We describe an explicit procedure for constructing P based on the prolongation theory of the first part of this paper which involves finitely many steps. These results imply

One of the main reasons to study regularized semigroups is their flexibility in applications to evolution equations (see e.g.. We will demonstrate this in Section

We show that the topological duals A 0 of these operator rings with the canonical action of A on A 0 furnish strong elimination and duality properties for A A 0 -behaviors and