A link between global solvability and solvability over compacts for systems like :
An overdetermined elliptic problem in a domain with countably rectifiable boundary
We examine an elliptic equation in a domain Ω whose boundary ∂Ω is countably (m-1)-rectifiable. We also assume that ∂Ω satisfies a geometrical condition. We are interested in an overdetermined boundary value problem (examined by Serrin [Arch. Ration. Mech. Anal. 43 (1971)] for classical solutions on domains with smooth boundary). We show that existence of a solution of this problem implies that Ω is an m-dimensional Euclidean ball.
Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition.
Constant mean curvature tori in terms of elliptic functions.
Evoluzione per sistemi differenziali sovradeterminati
Existence of conservation laws in nilpotent case.
Exotic parametrization problems
Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics
In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.
Global solvability for certain classes of underdetermined systems of vector fields.
Holomorphic perturbation of a system of micro-differential equations
Identity surfaces.
Intégration des équations simultanées aux dérivées partielles du premier ordre d'une seule fonction
Invariant prolongation of BGG-operators in conformal geometry
BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.
-estimates and existence theorems for generalized analytic functions in several variables.
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...
Moyennisation et régularité deux-microlocale
Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids.
Note on two compatibility criteria: Jacobi-Mayer bracket vs. differential Gröbner basis.
On a mixed problem for a linear coupled system with variable coefficients.
On the absence of Poincaré lemma for some systems of partial differential equations