10 citations · 22 across the 7 of their papers we have counts for
14 papers · 1 filter
Quantitative uniqueness of continuation result related to Hopf's lemma
Mourad Choulli, Faouzi Triki, Qi Xue
The classical Hopf's lemma can be reformulated as uniqueness of continuation result. We aim in the present work to quantify this property. We show precisely that if a solution …
Some stability inequalities for hybrid inverse problems
Mourad Choulli
We study some hybrid inverse problems associated to BVP's for Schrödinger and Helmholtz type equations. The inverse problems we consider consist in the determination of coefficient…
Stability inequality for a semilinear elliptic inverse problem
Mourad Choulli, Guanghui Hu, Masahiro Yamamoto
We establish a logarithmic stability inequality for the inverse problem of determining the non linear term, appearing in a semilinear BVP, from the corresponding Dirichlet-to-Neuma…
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…