Domaine : Équations aux dérivées
partielles et Théorie spectrale
HDR : Quelques
problèmes sur des temps semi-classiquement longs (pdf).
Exposés : -
Propagation estimates for the
Schrödinger equation
(pdf), Canberra, juillet 2009
- Strichartz
estimates and the
Isozaki-Kitada parametrix
on asymptotically hyperbolic manifolds (pdf), Tokyo, avril 2010
- Low frequency resolvent estimates on asymptotically flat manifolds (pdf), Roscoff, juin 2013
- Strichartz inequalities on non compact manifolds (pdf), Rennes, avril 2014
- Wave packets on Riemannian manifolds (pdf), Lille, novembre 2015
- On the scattering theory of asymptotically flat manifolds and Strichartz inequalities (pdf), Cergy, Juin 2016
Articles
() A wave packet approach to semiclassical propagation on Riemannian manifolds
en préparation.
(28) Sharp resolvent and time decay estimates for dispersive equations on asymptotically Euclidean backgrounds (pdf)
avec N. Burq
(27) Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularitie (pdf)
avec H.Mizutani, Trans. Amer. Math. Soc. (accepté)
(26) Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping (pdf)
avec H. Mizutani
(25) Strichartz inequalities on surfaces with cusps (pdf)
Int. Math. Res. Not. IMRN, no. 24, 13437-13492 (2015)
(24) Sharp low frequency estimates on asymptotically flat manifolds (pdf)
avec J. Royer, Comm. Math. Phys. vol. 335, issue 2, 809-850 (2015)
(23) Refined Sobolev inequalities on manifolds with ends (pdf)
avec Y. Sire, Math. Res. Let., vol. 21, no. 4, 663-675 (2014)
(22) Local energy decay for the damped wave equation (pdf)
avec J. Royer,
J. Funct. Analysis, 266, no. 7, 4538-4615 (2014)
(21) On the normal
coordinates on manifolds with ends (pdf)
Osaka Journal of Math., vol. 51, no. 4, 993-1015 (2014)
(20) Absence of eigenvalue at the
bottom of the continuous spectrum on asymptotically hyperbolic
manifolds (pdf)
Ann. Global Anal. Geom. 44, no. 2, 115–136 (2013)
(19) Low frequency
estimates
and local
energy decay for asymptotically euclidean Laplacians (pdf)
Comm. in PDE Volume 36, Number 7, 1239-1286 (48), (2011)
(18) Low
frequency estimates for long range perturbations in divergence form (pdf)
Canadian J. Math. 63, 961-991 (2011)
(17) Low energy
behaviour
of
powers of the resolvent of long range perturbations of the Laplacian
(pdf)
Proceedings of the Centre for Mathematics and its
Applications, Australian National University, Vol. 44 (2010)
(16) Strichartz
estimates
on
asymptotically
hyperbolic manifolds (pdf)
Analysis & PDE 4-1, 1-84 (2011)
(15) Semi-classical calculus on non
compact
manifolds with ends and
weighted Lp
estimates (pdf)
Annales de l'Institut Fourier, Vol. 61 no. 3, p. 1181-1223 (2011)
(14) Littlewood-Paley
decompositions on manifolds with ends (pdf)
Bulletin de la SMF 138,
fascicule 1, 1-37 (2010)
(13) On
global Strichartz estimates for non trapping
metrics (pdf)
avec N. Tzvetkov,
J. Funct. Analysis, 254, 6, 1661-1682 (2008)
(12) Semiclassical
resonances
of Schrödinger operators as zeroes of regularized determinants
(pdf),
avec V.
Bruneau,
Int. Math. Res. Not. vol 2008, rnn002, 55 pages (2008)
(11) Strichartz estimates
for long range
perturbations (pdf)
avec N. Tzvetkov,
Amer. J. Math. vol 129, 6, 1565-1609 (2007)
(10) Resolvent estimates for the
Laplacian
on asymptotically hyperbolic manifolds (pdf)
Ann. H. Poincaré, no. 7, 527-561 (2006)
(9) Linear response
theory for magnetic Schrödinger operators in
disordered
media (pdf)
avec F. Germinet, A. Klein
et J.
Schenker,
J. Funct. Analysis, 226, 301-372 (2005)
(8) Long
time propagation and control on scarring for
perturbed
quantized
hyperbolic toral automorphisms (pdf),
avec S. De
Bièvre,
Ann. H. Poincaré, no. 6, 885-913 (2005)
(7) Sub-exponential
decay of operator kernels for functions of
generalized
Schrödinger operators (ps),
avec F.
Germinet
et A.
Klein,
Proc. AMS,
132, no. 9, 2703-2712 (2004)
(6) Generalized scattering phases for asymptotically hyperbolic
manifolds,
CRAS, 338, no. 9, 685-688 (2004)
(5) Spectral
distributions for long range perturbations (ps),
J. Funct. Analysis, 212, no. 2, 431-471 (2004)
(4) Asymptotic
behavior of regularized scattering phases for
long
range perturbations,
Journées EDP, (Forges-les-Eaux,
2002), Exp. No. II, 12 pp., Univ. Nantes, Nantes
(2002)
(3) Traces formulae for
relatively
Hilbert-Schmidt perturbations (ps),
Asymp. Analysis 32, no. 3-4,
257-291 (2002)
(2) Generalized scattering phase for long range
perturbations
of elliptic operators,
CRAS, Sér. I Math. 333, no. 9,
845-850 (2001)
(1) Fonction spectrale pour des perturbations relativement
Hilbert-Schmidt,
CRAS, Sér. I Math. 332, no. 10, 887-892 (2001)
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