List of participants
Littlewood-Paley decompositions on manifolds with ends
For certain non compact Riemannian manifolds with ends which may or may not satisfy the doubling condition on the volume of geodesic balls, we obtain Littlewood-Paley type estimates on (weighted) spaces, using the usual square function defined by a dyadic partition.
Littlewood-Paley-Stein functions on complete Riemannian manifolds for 1 ≤ p ≤ 2
We study the weak type (1,1) and the -boundedness, 1 < p ≤ 2, of the so-called vertical (i.e. involving space derivatives) Littlewood-Paley-Stein functions and ℋ respectively associated with the Poisson semigroup and the heat semigroup on a complete Riemannian manifold M. Without any assumption on M, we observe that and ℋ are bounded in , 1 < p ≤ 2. We also consider modified Littlewood-Paley-Stein functions that take into account the positivity of the bottom of the spectrum. Assuming that...
Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
Ljusternik-Schnirelmann theory on -manifolds
Local algebraicity of analytic sets.
Local and global aspects of separating coordinates for the Klein-Gordon equation
The author considers the Klein-Gordon equation for -dimensional flat spacetime. He is interested in those coordinate systems for which the equation is separable. These coordinate systems are explicitly known and generally do not cover the whole plane. The author constructs tensor fields which he can use to express the locus of points where the coordinates break down.
Local and nice structures of the groupoid of an equivalence relation
Local audibility of a hyperbolic metric.
Local Bounds for Solutions of Higher Order Nonlinear Elliptic Partial Differential Equations.
Local Classification of Quotients of Smooth Manifolds by Discontinuous Groups.
Local contractibility of spaces of homeomorphisms
Local density of diffeomorphisms with large centralizers
Given any compact manifold , we construct a non-empty open subset of the space of -diffeomorphisms and a dense subset such that the centralizer of every diffeomorphism in is uncountable, hence non-trivial.
Local energy decay for several evolution equations on asymptotically euclidean manifolds
Let be a long range metric perturbation of the Euclidean Laplacian on , . We prove local energy decay for the solutions of the wave, Klein-Gordon and Schrödinger equations associated to . The problem is decomposed in a low and high frequency analysis. For the high energy part, we assume a non trapping condition. For low (resp. high) frequencies we obtain a general result about the local energy decay for the group where has a suitable development at zero (resp. infinity).
Local energy decay of solutions to the wave equation for nontrapping metrics
Local equivalence of some maximally symmetric -distributions II
We show the change of coordinates that maps the maximally symmetric -distribution given by solutions to the and generalised Chazy equation to the flat Cartan distribution. This establishes the local equivalence between the maximally symmetric and generalised Chazy distribution and the flat Cartan or Hilbert-Cartan distribution. We give the set of vector fields parametrised by solutions to the and generalised Chazy equation and the corresponding Ricci-flat conformal scale that bracket-generate...
Local existence of Ricci Solitons.
Local expansions, derivatives, and fixed points
Local Fatou theorem and the density of energy on manifolds of negative curvature.
Local generalizations of Lefschetz-Zariski theorems.