Sistemi del tipo non globalmente risolubili
Solution operators for convolution equations on the germs of analytic functions on compact convex sets in
is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.
Solutions analytiques des équations aux dérivées partielles à coefficients constants
Solutions élémentaires invariantes
Solutions in Gevrey spaces of partial differential equations with constant coefficients
Si dà una condizione sufficiente per la esistenza di una soluzione in uno spazio di Gevrey , razionale , , di una equazione lineare a derivate parziali a coefficienti costanti , quando . La dimostrazione completa dei risultati ottenuti è contenuta in una nota dell’autore in corso di pubblicazione su "Astérisque".
Some remarks on -valued functions
Spectral decomposition of Green’s integrals and existence of -solutions of matrix factorizations of the Laplace operator in a ball
Sur les équations invariantes par un groupe
Sur l'existence de solutions analytiques d'équations à coefficients constants
Sur l'existence de solutions analytiques globales des équations aux dérivées partielles linéaires à coefficients constants en deux variables indépendantes, d'après E. de Giorgi
Sur une définition de la valeur d'une distribution en un point et son application au problème de Cauchy
Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions
We show that if Ω is an open subset of ℝ², then the surjectivity of a partial differential operator P(D) on the space of ultradistributions of Beurling type is equivalent to the surjectivity of P(D) on .
Systems of linear differential equations symmetric with respect to transformations nonlinear in a function.