Small eigenvalues of Riemann surfaces and graphs.
Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian
This article follows the previous works [HeKlNi, HeNi] by Helffer-Klein-Nier and Helffer-Nier about the metastability in reversible diffusion processes via a Witten complex approach. Again, exponentially small eigenvalues of some self-adjoint realization of are considered as the small parameter tends to . The function is assumed to be a Morse function on some bounded domain with boundary . Neumann type boundary conditions are considered. With these boundary conditions, some possible simplifications...
Small eigenvalues on Riemann surfaces of genus 2.
Small eigenvalues on Y-pieces and on Riemann surfaces.
Small time heat kernel behavior on Riemannian complexes.
Smooth optimal synthesis for infinite horizon variational problems
We study Hamiltonian systems which generate extremal flows of regular variational problems on smooth manifolds and demonstrate that negativity of the generalized curvature of such a system implies the existence of a global smooth optimal synthesis for the infinite horizon problem. We also show that in the Euclidean case negativity of the generalized curvature is a consequence of the convexity of the Lagrangian with respect to the pair of arguments. Finally, we give a generic classification for...
Smoothing effect for regularized Schrödinger equation on compact manifolds
Smoothing effect for Schrödinger evolution equation via commutator algebra
Smoothness of Itô maps and diffusion processes on path spaces (I)
Sobolev-Kantorovich Inequalities
In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich-Wasserstein distance to μ. This article emphasizes this family of interpolation inequalities, called Sobolev-Kantorovich inequalities, which may be established in the rather large setting of non-negatively curved (weighted) Riemannian manifolds by means...
Solitons on pseudo-Riemannian manifolds: Stability and motion.
Solution explicite de l'équation des ondes dans un espace symétrique de type non compact de rang 1
Solutions globales de systèmes non linéaires sur des variétés hyperboliques
Solutions of elliptic equations on manifolds with roughly Euclidean ends.
Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]
Solvability of the Navier-Stokes equations on manifolds with boundary.
Solvable nonlinear evolution PDEs in multidimensional space.
Solving -Laplacian equations on complete manifolds.
Some applications of large sieve in Riemann surfaces
Some curvature identities for commutative spaces