Local audibility of a hyperbolic metric.
Local Bounds for Solutions of Higher Order Nonlinear Elliptic Partial Differential Equations.
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 Fatou theorem and the density of energy on manifolds of negative curvature.
Local index theory and higher analytic torsion.
Local invariants of spectral asymmetry.
Local property of Dirichlet forms and diffusions on general state spaces.
Localisation et front d'onde analytique
Localization and wave fronts
Logarithmic Sobolev inequalitites and the existence of singular integrals.
Long-time existence for a solution of the equation of evolution of harmonic maps into an ellipsoid.
Lorentz-invariant quantum fields in the space-time tangent bundle.
Lower Bounds for Eigenfunctions on Riemannian Manifolds.
Lower Bounds for the Eigenvalues of Negatively Curved Manifolds.
Lower bounds on //K...//1...... For some contractions K of L² (...), with applications to Markov operators.
Lower eigenvalue estimates for Dirac operators.