200 citations
- Université Paris-SudFR25 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- Université Paris CitéFR13 papers
- Université Paris-SaclayFR13 papers
- Département de mathématiques et applicationsFR7 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR7 papers
- Centre de Physique ThéoriqueFR6 papers
- Institut Camille JordanFR6 papers
- Institut national de recherche en sciences et technologies du numériqueFR6 papers
- Laboratoire de Mathématiques Blaise PascalFR6 papers
- Lyon 1 UniversitéFR6 papers
- University of EdinburghGB6 papers
6 papers · 2 filters
The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains
Luc Robbiano, Claude Zuily
In this paper we prove the smoothing effect for solutions of Schr{ö}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials…
Global well-posedness for the KP-I equation on the background of a non localized solution
Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov
We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not de…
Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues
Leszek Gasi'nski, Dumitru Motreanu, Nikolaos S Papageorgiou
We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at inf…
Maximal inequalities and Riesz transform estimates on spaces for Schrödinger operators with nonnegative potentials
Pascal Auscher, Besma Ben Ali
We show various estimates for Schrödinger operators on $\RR^n$ and their square roots. We assume reverse Hölder estimates on the potential, and improve some results of…
Remarks on the mass constraint for KP type equations
Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov
For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass (in ) constraint is satisfied at any non zero time even if it is not sat…
Microlocal kernel of pseudodifferential operators at an hyperbolic fixed point
J. -F. Bony, S. Fujiie, T. Ramond +1
We study the microlocal kernel of h-pseudodifferential operators P(x,hD)-z, where z belongs to some neighborhood of size O(h) of a critical value of its principal symbol. We suppos…