69 citations
- Université d'OrléansFR21 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- CERMICSFR7 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Bielefeld UniversityDE3 papers
- Centre de Physique ThéoriqueFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR3 papers
- Université de ToulonFR3 papers
- Weierstrass Institute for Applied Analysis and StochasticsDE3 papers
- Aix-Marseille UniversitéFR2 papers
- HUN-REN Alfréd Rényi Institute of MathematicsHU2 papers
6 papers · 2 filters
The wave equation on Damek-Ricci spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
We study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on Damek-Ricci spaces, and deduce Strichartz estimates for a large fam…
Dispersive estimates and NLS on product manifolds
Vittoria Pierfelice
We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable d…
On a nonlinear heat equation associated with Dirichlet -- Robin conditions
Le Thi Phuong Ngoc, Nguyen Van Y, Alain Pham Ngoc Dinh +1
This paper is devoted to the study of a nonlinear heat equation associated with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the compactness method to pro…
On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis
Francois James, Nicolas Vauchelet
The hydrodynamic limit of a one dimensional kinetic model describing chemotaxis is investigated. The limit system is a conservation law coupled to an elliptic problem for which the…
Shape minimization of the dissipated energy in dyadic trees
Xavier Dubois De La Sablonière, Benjamin Mauroy, Yannick Privat
In this paper, we study the role of boundary conditions on the optimal shape of a dyadic tree in which flows a Newtonian fluid. Our optimization problem consists in finding the sha…
Schrödinger equation on Damek-Ricci spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
In this paper we consider the Laplace-Beltrami operator Δon Damek-Ricci spaces and derive pointwise estimates for the kernel of exp(τΔ), when τ\in C* with Re(τ) \geq 0. When τ\in i…