Université de Lorraine

most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

7.7k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2015 · math.APShow all

14 papers · 2 filters

math.AP2015★ 21 cited

GJMS-type Operators on a compact Riemannian manifold: Best constants and Coron-type solutions

Saikat Mazumdar

In this paper we investigate the existence of solutions to a nonlinear elliptic problem involving critical Sobolev exponent for a polyharmonic operator on a Riemannian manifold $M$ …

math.AP2015

Explicit estimates for solutions to higher order elliptic PDEs via Morse index

Foued Mtiri, Abdellaziz Harrabi, Dong Ye

In this paper, we establish $L^{\infty}$ and $L^{p}$ estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the firs…

math.AP2015★ 1 cited

Global existence and smoothness for solutions of viscous Burgers equation. (2) The unbounded case: a characteristic flow study

Jeremie Unterberger

We show that the homogeneous viscous Burgers equation $(\partial_{t} - η Δ) u (t, x) + (u \cdot \nabla) u (t, x) = 0, (t, x) \in R_{+} \times R^{d}$ $(d \geq 1, η > 0)$ has a globally de…

math.AP2015★ 1 cited

Existence of stable solutions to $(- Δ)^{m} u = e^{u}$ in $R^{N}$ with $m \geq 3$ and $N > 2 m$

Xia Huang, Dong Ye

We consider the polyharmonic equation $(- Δ)^{m} u = e^{u}$ in $R^{N}$ with $m \geq 3$ and $N > 2 m$ . We prove the existence of many entire stable solutions. This answer some questi…

math.AP2015★ 1 cited

Conformal mapping for cavity inverse problem: an explicit reconstruction formula

Alexandre Munnier, Karim Ramdani

In this paper, we address a classical case of the Calderón (or conductivity) inverse problem in dimension two. We aim to recover the location and the shape of a single cavity $ω$ (…

math.AP2015★ 10 cited

Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation

Kais Ammari, Mourad Choulli

In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determi…

math.AP2015★ 11 cited

Conformal metrics in $R^{2 m}$ with constant $Q$ -curvature and arbitrary volume

Xia Huang, Dong Ye

We study the polyharmonic problem $Δ^{m} u = \pm e^{u}$ in $R^{2 m}$ , with $m \geq 2$ . In particular, we prove that {\sl for any} $V > 0$ , there exist radial solutions of $Δ^m…

math.AP2015★ 25 cited

A KPP road-field system with spatially periodic exchange terms

Thomas Giletti, Léonard Monsaingeon, Maolin Zhou

We take interest in a reaction-diffusion system which has been recently proposed [11] as a model for the effect of a road on propagation phenomena arising in epidemiology and ecolo…

math.AP2015★ 3 cited

Global existence for strong solutions of viscous Burgers equation. (1) The bounded case

Jeremie Unterberger

We prove that the viscous Burgers equation has a globally defined smooth solution in all dimensions provided the initial condition and the forcing term are smooth and bounded toget…

math.AP2015

A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator

Mourad Choulli, Laurent Kayser

We adapt in the present note the perturbation method introduced in [3] to get a Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator on an open subset…

math.AP2015★ 9 cited

Observations on gaussian upper bounds for Neumann heat kernels

Mourad Choulli, Laurent Kayser, El Maati Ouhabaz

Given a domain $Ω$ of a complete Riemannian manifold $M$ and define $A$ to be the Laplacian with Neumann boundary condition on $Ω$ . We prove that, under appropr…

math.AP2015

Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition

Aurore Back, Takashi Hattori, Simon Labrunie +2

We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model…

math.AP2015★ 13 cited

Varying the direction of propagation in reaction-diffusion equations in periodic media

Matthieu Alfaro, Thomas Giletti

We consider a multidimensional reaction-diffusion equation of either ignition or monostable type, involving periodic heterogeneity, and analyze the dependence of the propagation ph…

math.AP2015★ 3 cited

Double logarithmic stability estimate in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map

Mourad Choulli, Yavar Kian, Eric Soccorsi

We examine the stability issue in the inverse problem of determining a scalar potential appearing in the stationary Schr{ö}dinger equation in a bounded domain, from a partial ellip…

GJMS-type Operators on a compact Riemannian manifold: Best constants and Coron-type solutions

Explicit estimates for solutions to higher order elliptic PDEs via Morse index

Global existence and smoothness for solutions of viscous Burgers equation. (2) The unbounded case: a characteristic flow study

Existence of stable solutions to (−Δ)mu=eu in RN with m≥3 and N>2m

Conformal mapping for cavity inverse problem: an explicit reconstruction formula

Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation

Conformal metrics in R2m with constant Q-curvature and arbitrary volume

A KPP road-field system with spatially periodic exchange terms

Global existence for strong solutions of viscous Burgers equation. (1) The bounded case

A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator

Observations on gaussian upper bounds for Neumann heat kernels

Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition

Varying the direction of propagation in reaction-diffusion equations in periodic media

Double logarithmic stability estimate in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map

Existence of stable solutions to $(- Δ)^{m} u = e^{u}$ in $R^{N}$ with $m \geq 3$ and $N > 2 m$

Conformal metrics in $R^{2 m}$ with constant $Q$ -curvature and arbitrary volume