Universal bounds for eigenvalues of Schrödinger operators on Riemannian manifolds.
Universal prolongation of linear partial differential equations on filtered manifolds
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.
(Un)stability and bordism groups in PDEs.
Untere Schranken für den ersten Eigenwert des Laplace-Operators auf kompakten Riemannschen Flächen.
Upper bound for the first eigenvalue of algebraic submanifolds.
Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds
On geometrically finite hyperbolic manifolds , including those with non-maximal rank cusps, we give upper bounds on the number of resonances of the Laplacian in disks of size as . In particular, if the parabolic subgroups of satisfy a certain Diophantine condition, the bound is .
Vacuum energy as spectral geometry.
Valeurs propres immergées dans le spectre continu d'une surface de Riemann
Vanishing cycles of D-modules.
Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups.
Vanishing theorems for the basic cohomology of Riemannian foliations.
Variantes des inégalités de Sobolev et inégalités de Trudinger pour les groupes de Lie et les variétés riemanniennes.
Variation de la phase de diffusion et distribution des résonances
Variational integrals for elliptic complexes
We discuss variational integrals which are defined on differential forms associated with a given first order elliptic complex. This general framework provides us with better understanding of the concepts of convexity, even in the classical setting
Variational principles for differential equations with symmetries and conservation laws. II. Polynomial differential equations.
Varietà generiche rispetto a sistemi differenziali
Variété caractéristique de la restriction d'un module différentiel
Variétés riemanniennes isométriques à l'infini.
Dans cet article, nous nous intéresserons à certaines propriétés des variétés riemanniennes non compactes qui ne dépendant que de leur géométrie à l'infini; pour cela, nous utiliserons un procédé de discrétisation qui associe un graph (pondéré) à une variété.
Variétés riemanniennes isospectrales non isométriques
Vector bundles, ellipticity and index theorem.