SAK principle for a class of Grushin-type operators.
We prove Fefferman's SAK Principle for a class of hypoelliptic operators on R2 whose nonnegative symbol vanishes anisotropically on the characteristic manifold.
Semiclassical resolvent estimates for two and three-body Schrödinger operators
Series solutions of time-fractional PDEs by homotopy analysis method.
Singular perturbations and parameter-dependent pseudo-differential boundary problems
Smoothing of dispersive waves
Solutions asymptotiques de l'équation de Dirac
Some decay properties for the damped wave equation on the torus
This article is a proceedings version of the ongoing work [1], and has been the object of a talk of the second author during the Journées “Équations aux Dérivées Partielles” (Biarritz, 2012).We address the decay rates of the energy of the damped wave equation when the damping coefficient does not satisfy the Geometric Control Condition (GCC). First, we give a link with the controllability of the associated Schrödinger equation. We prove that the observability of the Schrödinger group implies that...
Some remarks on almost-positivity of 's
Per una classe di operatori pseudodifferenziali a caratteristiche multiple vengono date condizioni necessarie e sufficienti per la validità di stime dal basso «ottimali»
Some remarks on Weyl pseudodifferential operators
Sous-ellipticité d'opérateurs intégro-différentiels vérifiant le principe du maximum
Sous-ellipticité d'opérateurs intégro-différentiels vérifiant le principe du maximum
Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures.
Spectral Asymmetrie and Zeta Functions.
Spectral Invariance for Algebras of Pseudodifferential operators on Besov-Triebel-Lizorkin spaces.
Spectral invariance for pseudodifferential operators on weighted function spaces.
Spectral theory of SG pseudo-differential operators on
To every elliptic SG pseudo-differential operator with positive orders, we associate the minimal and maximal operators on , 1 < p < ∞, and prove that they are equal. The domain of the minimal ( = maximal) operator is explicitly computed in terms of a Sobolev space. We prove that an elliptic SG pseudo-differential operator is Fredholm. The essential spectra of elliptic SG pseudo-differential operators with positive orders and bounded SG pseudo-differential operators with orders 0,0 are computed....
Spectral theta series of operators with periodic bicharacteristic flow
The theta series is a classical example of a modular form. In this article we argue that the trace , where is a self-adjoint elliptic pseudo-differential operator of order 1 with periodic bicharacteristic flow, may be viewed as a natural generalization. In particular, we establish approximate functional relations under the action of the modular group. This allows a detailed analysis of the asymptotics of near the real axis, and the proof of logarithm laws and limit theorems for its value...
Spectre conjoint d'opérateurs différentiels qui commutent
Spectre conjoint d'opérateurs pseudo-différentiels qui commutent.
Spectre conjoint d'opérateurs pseudodifférentiels qui commutent