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19932026
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 2023 · math.APShow all

13 papers · 2 filters

math.AP2023

Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis

Boumediène Chentouf, Aissa Guesmia, Mauricio A Sepulveda Cortes +1

This article is intended to present a qualitative and numerical analysis of well-posedness and boundary stabilization problems of the well-known Korteweg-de Vries-Burgers equation.…

math.AP2023★ 1 cited

Uniform concentration property for Griffith almost-minimizers

Camille Labourie, Antoine Lememant

We prove that a Hausdorff limit of Griffith almost-minimizers remains a Griffith almost-minimizer. For this purpose, we introduce a new approach to the uniform concentration proper…

math.AP2023

On the 1d stochastic Schr{ö}dinger product

Aurélien Deya

We exhibit various restrictions about the wellposedness of the Schr{\''o}dinger product $$\cl:z \longmapsto -\imath \int\_0^t e^{\imath s {\cop \partial^2\_x}}\big( z\_s\cdot Ψ\_s\…

math.AP2023★ 2 cited

Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up

Hussein Mesmar, Frédéric Robert

We perform the apriori analysis of solutions to critical nonlinear elliptic equations on manifolds with boundary. The solutions are of minimizing type. The originality is that we i…

math.AP2023

An optimal spectral inequality for degenerate operators

Rémi Buffe, Kim Dang Phung, Amine Slimani

In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application…

math.AP2023

Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains

Simon Labrunie, Hassan Mohsen, Victor Nistor

We consider a \emph{family} of elliptic second order differential operators on a domain whose coefficients depend on the space variable…

math.AP2023

Invertibility criteria for the biharmonic single-layer potential

Alexandre Munnier

While the single-layer operator for the Laplacian is well understood, questions remain concerning the single-layer operator for the Bilaplacian, particularly with regard to inverti…

math.AP2023

A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics

Maha Daoud, El-Haj Laamri, Azeddine Baalal

In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of . The…

math.AP2023

On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary

Nicoló Drago, Nicolas Ginoux, Simone Murro

We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator…

math.AP2023

Dynamics of quintic nonlinear Schr{ö}dinger equations in

Joackim Bernier, Benoît Grébert, Tristan Robert

In this paper, we succeed in integrating Strichartz estimates (encoding the dispersive effects of the equations) in Birkhoff normal form techniques. As a consequence, we deduce a r…

math.AP2023

Determining an Iwatsuka Hamiltonian by knowledge of its first band function

Mourad Choulli, Nour Kerraoui, Eric Soccorsi

We investigate the inverse problem of retrieving the magnetic potential of an Iwatsuka Hamiltonian through knowledge of its first band function. We prove that two magnetic potentia…

math.AP2023

Bilinear Strichartz estimates and almost sure global solutions for the nonlinear Schr{ö}dinger equation

Nicolas Burq, Aurélien Poiret, Laurent Thomann

The purpose of this article is to construct global solutions, in a probabilistic sense, for the nonlinear Schr{ö}dinger equation posed on , in a supercritical regime.…

math.AP2023

Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{ö}dinger equation

Laurent Thomann, Nicolas Burq

In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{ö}dinger equation with random init…