Measurability of classes of Lipschitz manifolds with respect to Borel -algebra of Vietoris topology
Measure and category
Measure preserving pseudo-groups and a theorem of Sacksteder
This note is based on a theorem of Sacksteder which generalizes a classical result of Denjoy. Using this theorem and results on the existence of invariant measures, new results are obtained concerning minimal sets for groups of diffeomorphisms of the circle and for foliations of codimension one.
Measure solutions for semilinear evolution equations with polynomial growth and their optimal control
In this paper we introduce a new concept of generalized solutions generalizing the notion of relaxed solutions recently introduced by Fattorini. We present some results on the question of existence of generalized or measure valued solutions for semilinear evolution equations on Banach spaces with polynomial nonlinearities. The results are illustrated by two examples one of which arises in nonlinear quantum mechanics. The results are then applied to some control problems.
Measure theory in noncommutative spaces.
Measure-preserving homeomorphisms of noncompact manifolds and mass flow toward ends
Suppose M is a noncompact connected n-manifold and ω is a good Radon measure of M with ω(∂M) = 0. Let ℋ(M,ω) denote the group of ω-preserving homeomorphisms of M equipped with the compact-open topology, and the subgroup consisting of all h ∈ ℋ(M,ω) which fix the ends of M. S. R. Alpern and V. S. Prasad introduced the topological vector space (M,ω) of end charges of M and the end charge homomorphism , which measures for each the mass flow toward ends induced by h. We show that the map has...
Measures and Markov processes on function spaces
Meilleures constantes et inégalités de Sobolev optimales sur les variétés riemanniennes compactes
Mesure harmonique et mesure de Bowen-Margulis
Mesures associées à une forme de Dirichlet. Applications
Mesures de défaut de compacité, application au système de Lamé
Metaplectic quantization of the moduli spaces of flat and parabolic bundles.
Method of replacing the variables for generalized symmetry of the D'Alembert equation.
Méthode de descente sur un fermé non convexe
Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari
In the present paper we survey some recents results concerning existence of semiclassical standing waves solutions for nonlinear Schrödinger equations. Furthermore, from Maxwell's equations we derive a nonlinear Schrödinger equation which represents a model of propagation of an electromagnetic field in optical waveguides.
Metric properties of eigenfunctions of the Laplace operator on manifolds
On a two-dimensional compact real analytic Riemannian manifold we estimate the volume of the set on which the eigenfunction of the Laplace-Beltrami operator is positive.On an -dimensional compact smooth Riemannian manifold, we estimate the relation between supremum and infimum of an eigenfunction of the Laplace operator.
Metrics in the sphere of a C*-module
Given a unital C*-algebra and a right C*-module over , we consider the problem of finding short smooth curves in the sphere = x ∈ : 〈x, x〉 = 1. Curves in are measured considering the Finsler metric which consists of the norm of at each tangent space of . The initial value problem is solved, for the case when is a von Neumann algebra and is selfdual: for any element x 0 ∈ and any tangent vector ν at x 0, there exists a curve γ(t) = e tZ(x 0), Z ∈ , Z* = −Z and ∥Z∥ ≤ π, such...
Metrics of Positive Ricci Curvature with Large Diameter.
Metrics on state spaces.
Metrics with Harmonic Spinors.