10 citations · 22 across the 24 of their papers we have counts for
6 papers · 1 filter
Boundary value problems for elliptic partial differential equations
Mourad Choulli
This course is intended as an introduction to the analysis of elliptic partial differential equations. The objective is to provide a large overview of the different aspects of elli…
Inverse problems for Schrödinger equations with unbounded potentials
Mourad Choulli
We summarize in these notes the course given at the Summer School of AIP 2019 held in Grenoble from July 1st to July 5th. This course was mainly devoted to the determination of the…
Global logarithmic stability results on the Cauchy problem for anisotropic wave equations
Mourad Choulli, Mourad Bellassoued
We discuss the Cauchy problem for anisotropic wave equations. Precisely, we address the question to know which kind of Cauchy data on the lateral boundary are necessary to guarante…
Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with Hölder continuous coefficients
Mourad Choulli, Giorgio Metafune
We establish two-sided Gaussian bounds for fundamental solutions of general non-divergence form parabolic operators with Hölder continuous coefficients. The result we obtain is ess…
An inverse conductivity problem in multifrequency electric impedance tomography
Jin Cheng, Mourad Choulli, Shuai Lu
We deal with the problem of determining the shape of an inclusion embedded in a homogenous background medium. The multifre-quency electrical impedance tomography is used to image t…
New global logarithmic stability of the Cauchy problem for elliptic equations
Mourad Choulli
In this short paper we prove a global logarithmic stability of the Cauchy problem for H 2-solutions of an anisotropic elliptic equation in a Lip-schitz domain. The result we obtain…