EUDML

The search session has expired. Please query the service again.

Currently displaying 1 – 5 of 5

Order by Relevance | Title | Year of publication

On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold

Camille Laurent — 2011

Journées Équations aux dérivées partielles

We study the internal stabilization and control of the critical nonlinear Klein-Gordon equation on 3-D compact manifolds. Under a geometric assumption slightly stronger than the classical geometric control condition, we prove exponential decay for some solutions bounded in the energy space but small in a lower norm. The proof combines profile decomposition and microlocal arguments. This profile decomposition, analogous to the one of Bahouri-Gérard [] on $ℝ^{3}$ , is performed by taking care of possible...

Global controllability and stabilization for the nonlinear Schrödinger equation on an interval

Camille Laurent — 2010

ESAIM: Control, Optimisation and Calculus of Variations

We prove global internal controllability in large time for the nonlinear Schrödinger equation on a bounded interval with periodic, Dirichlet or Neumann conditions. Our strategy combines stabilization and local controllability near 0. We use Bourgain spaces to prove this result on . We also get a regularity result about the control if the data are assumed smoother.

The Laplace-Beltrami operator in almost-Riemannian Geometry

Ugo Boscain; Camille Laurent — 2013

Annales de l’institut Fourier

We study the Laplace-Beltrami operator of generalized Riemannian structures on orientable surfaces for which a local orthonormal frame is given by a pair of vector fields that can become collinear. Under the assumption that the structure is 2-step Lie bracket generating, we prove that the Laplace-Beltrami operator is essentially self-adjoint and has discrete spectrum. As a consequence, a quantum particle cannot cross the singular set (i.e., the set where the vector fields become collinear)...

Twisted K-theory of differentiable stacks

Jean-Louis Tu; Ping Xu; Camille Laurent-Gengoux — 2004

Annales scientifiques de l'École Normale Supérieure

Universal lifting theorem and quasi-Poisson groupoids

David Inglesias-Ponte; Camille Laurent-Gengoux; Ping Xu — 2012

Journal of the European Mathematical Society

We prove the universal lifting theorem: for an $α$ -simply connected and $α$ -connected Lie groupoid $Γ$ with Lie algebroid $A$ , the graded Lie algebra of multi-differentials on $A$ is isomorphic to that of multiplicative multi-vector fields on $Γ$ . As a consequence, we obtain the integration theorem for a quasi-Lie bialgebroid, which generalizes various integration theorems in the literature in special cases. The second goal of the paper is the study of basic properties of quasi-Poisson groupoids. In particular,...

Page 1

Download Results (CSV)