-estimates and existence theorems for generalized analytic functions in several variables.
L1 and L∞-estimates with a local weight for the ∂-equation on convex domains in Cn.
We construct a defining function for a convex domain in Cn that we use to prove that the solution-operator of Henkin-Romanov for the ∂-equation is bounded in L1 and L∞-norms with a weight that reflects not only how near the point is to the boundary of the domain but also how convex the domain is near the point. We refine and localize the weights that Polking uses in [Po] for the same type of domains because they depend only on the Euclidean distance to the boudary and don't take into account the...
L2 estimates and existence theorems for the tangential Cauchy-Riemann complex.
La sous-ellipticité pour le problème -Neumann dans un domaine pseudoconvexe de
Le problème de Cauchy pour et application
Le problème du sur un espace de Hilbert
L’équation avec décroissance au bord sur certains ouverts convexes d’un espace de Banach
Liouville's theorem for first-order partial differential operators
Liouvillian first integrals of homogeneouspolynomial 3-dimensional vector fields
Given a 3-dimensional vector field V with coordinates , and that are homogeneous polynomials in the ring k[x,y,z], we give a necessary and sufficient condition for the existence of a Liouvillian first integral of V which is homogeneous of degree 0. This condition is the existence of some 1-forms with coordinates in the ring k[x,y,z] enjoying precise properties; in particular, they have to be integrable in the sense of Pfaff and orthogonal to the vector field V. Thus, our theorem links the existence...
Local regularity for the tangential Cauchy-Riemann complex.
Localization and wave fronts
LP and Lipschitz Estimates for the ... Equation and the ...-Neumann Problem.