[PDF] Top 20 SEMI-CLASSICAL RESOLVENT ESTIMATES FOR L ∞ POTENTIALS ON RIEMANNIAN MANIFOLDS

... Carleman estimates proved in [9] (see Proposition ...local estimates in a way similar to that one developed in [9], making however some significant modifications due to the different nature of the problem ... Voir le document complet

... Carleman estimates to ...Carleman estimates (see the proof of Theorem ...Carleman estimates the functions ϕ and µ must satisfy some conditions (see the inequalities ...good resolvent bounds as ... Voir le document complet

... 0 for all x ∈ R n . To prove this theorem we adapt the Carleman estimates proved in [9] simplifying some key arguments as for example the construction of the phase function ... Voir le document complet

... The idea is to consider four points in the xz-plane in Euclidean space, and show that with a mild perturbation of the metric, this tetrahedron exhibits exactly two distinct circumcentres. We construct a perturbed metric ... Voir le document complet

... of Riemannian manifolds, the existence and unique- ness of local medians are proved in [19] for probability measures whose sup- port are contained in a convex geodesic ...algorithms for ... Voir le document complet

... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vi[r] ... Voir le document complet

... a Riemannian manifold M , and V is a Hermitian bundle ...condition for the essential self-adjointness of H, expressed in terms of the behavior of V relative to the Cauchy boundary of M ... Voir le document complet

... Unlike for the Riemannian case, as soon as p ≥ 1, Ein p,q is not the only com- pact type-(p, q) manifold admitting an essential conformal ...group. For exam- ple, it is possible to construct compact ... Voir le document complet

... 23] for the Euclidean case. Of course, Riemannian versions of those results can be obtained by specialization of Theorem ...Cominetti for his very helpful advise and ... Voir le document complet

... a Riemannian metric, which in turn would ensure that the resulting random field respects ...three classical tasks in Geostatistics are performed: the simulation of Gaussian random fields, their estimation ... Voir le document complet

... −∞ for our purposes), in order to construct a parametrix for P (h, σ), we need to follow the flow out of semiclassical singularities from the conormal bundle of the ...diagonal. For P (h, σ) as ... Voir le document complet

... the resolvent of Schr¨odinger type ...the resolvent at low energies for compactifiable manifolds (see ...the resolvent for perturbations in divergence ...[4] for a quite ... Voir le document complet

... seeks for a version of this result in a complete Riemannian manifold (M, g) endowed with its Riemannian measure µ, one has to take into account that the Riesz transform, given by d∆ −1/2 in this ... Voir le document complet

... Two perturbed geodesic, Runge-Kutta 2 Two perturbed geodesic, Runge-Kutta 4 Figure 4. Relative errors for SPD(3) in different settings, as functions of the step size, with initial point, velocity and initial w ... Voir le document complet

... 2. Further results and comments 2.1. Extended MTW conditions. For every x ∈ M , let us denote by NF(x) ⊂ T x M the nonfocal domain at x (see Appendix A). As before, we shall say that (M, g) satisfies (CNF) (resp. ... Voir le document complet

... This paper presents research partially supported by the Belgian Programme on Inter-university Poles of Attraction, initiated by the Belgian State, Prime Minister’s Office for Science, Technology and Culture. Part ... Voir le document complet

... that for potentials belonging to the class A, outgoing positive resonances are at most ...analytic potentials for which real resonances are at most a countable set with zero as the only ... Voir le document complet

... sub-Riemannian manifolds using the sub- Riemannian ...that for these metric spaces the Hausdorff dimension is strictly greater than the topological ...formula for the perimeter measure ... Voir le document complet

... n for every n ∈ ...sub-Riemannian manifolds satisfy the C H 1 extension ...conditions for the local openness of the endpoint map can be used to express sufficient conditions for strong ... Voir le document complet

... compact manifolds with connected boundary equipped with a warped product ...such manifolds can be thought of as deformed balls in R d ...stability estimates of log- type on the warping function from ... Voir le document complet