Nombre de Lefschetz basique pour un feuilletage riemannien
Nombre de points entiers dans une famille homothétique de domaines de
Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel
Non embeddable CR-structures
Nonclassical approximate symmetries of evolution equations with a small parameter.
Non-commutative differential geometry
Noncommutative spectral geometry of Riemannian foliations.
Non-Divergence From Operators and Variations on Yau's Explosion Criterion.
Non-existence results and growth properties for harmonic maps and forms.
Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.
In this paper, we study a nonlinear elliptic equation with critical exponent, invariant under the action of a subgroup G of the isometry group of a compact Riemannian manifold. We obtain some existence results of positive solutions of this equation, and under some assumptions on G, we show that we can solve this equation for supercritical exponents.
Nonlinear parabolic problems on manifolds, and a nonexistence result for the noncompact Yamabe problem.
Nonlinear Schrödinger equation on four-dimensional compact manifolds
We prove two new results about the Cauchy problem in the energy space for nonlinear Schrödinger equations on four-dimensional compact manifolds. The first one concerns global well-posedness for Hartree-type nonlinearities and includes approximations of cubic NLS on the sphere as a particular case. The second one provides, in the case of zonal data on the sphere, local well-posedness for quadratic nonlinearities as well as a necessary and sufficient condition of global well-posedness for small energy...
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Nonlocal symmetries and generation of solutions for partial differential equations.
Non-Sunada graphs
We consider the question of whether there is a converse to the Sunada Theorem in the context of -regular graphs. We give a weak converse to the Sunada Theorem, which gives a necessary and sufficient condition for two graphs to be isospectral in terms of a Sunada-like condition, and show by example that a strong converse does not hold.
Non-symmetric approximations for manifold-valued semimartingales
Non-unicité du problème de Cauchy pour des opérateurs de type principal
Nonuniqueness for the heat flow of harmonic maps
Normal form of the wave group and inverse spectral theory
This talk will describe some results on the inverse spectral problem on a compact riemannian manifold (possibly with boundary) which are based on V. Guillemin's strategy of normal forms. It consists of three steps : first, put the wave group into a normal form around each closed geodesic. Second, determine the normal form from the spectrum of the laplacian. Third, determine the metric from the normal form. We will try to explain all three steps and to illustrate with simple examples such as surfaces...
Note rectificative : “Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions”