79 citations · 169 across the 18 of their papers we have counts for
22 papers
Short-time parametrix for the Fokker--Planck semigroup and applications
Paul Alphonse, Jean-Marc Bouclet, Matthieu Léautaud
We construct a short-time parametrix for the Fokker--Planck semigroup in Euclidean space. Among possible applications, we obtain smoothing and localization properties of the semigr…
Sharp resolvent and time decay estimates for dispersive equations on asymptotically Euclidean backgrounds
Jean-Marc Bouclet, Nicolas Burq
The purpose of this article is twofold. First we give a very robust method for proving sharp time decay estimates for the most classical three models of dispersive Partial Differen…
Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities
Jean-Marc Bouclet, Haruya Mizutani
This paper deals with global dispersive properties of Schrödinger equations with real-valued potentials exhibiting critical singularities, where our class of potentials is more gen…
Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping
Jean-Marc Bouclet, Haruya Mizutani
We prove global Strichartz inequalities for the Schrödinger equation on a large class of asymptotically conical manifolds. Letting be the nonnegative Laplace operator and $ f…
Strichartz inequalities on surfaces with cusps
Jean-Marc Bouclet
We prove Strichartz inequalities for the wave and Schrödinger equations on noncompact surfaces with ends of finite area, i.e. with ends isometric to $ \big( (r_0,\infty) \times {\m…
Sharp low frequency resolvent estimates on asymptotically conical manifolds
Jean-Marc Bouclet, Julien Royer
On a class of asymptotically conical manifolds, we prove two types of low frequency estimates for the resolvent of the Laplace-Beltrami operator. The first result is a uniform $ L^…