Youssef Mejri | Faculté des Sciences de Tunis (original) (raw)
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Papers by Youssef Mejri
We consider the boundary inverse problem of determining the aligned magnetic field appearing in t... more We consider the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic wave equation in a periodic quantum cylindrical waveguide from boundary observations. The observation is given by the Dirichlet to Neumann map associated to the wave equation. We prove by means of the geometrical optics solutions of the magnetic wave equation that the knowledge of the Dirichlet-to-Neumann map determines uniquely the aligned magnetic field induced by a time independent and 1-periodic magnetic potential. We establish a Holder-type stability estimate in the inverse problem.
Les travaux de recherche presentes dans cette these sont consacres a l’etude de la stabilite dans... more Les travaux de recherche presentes dans cette these sont consacres a l’etude de la stabilite dans divers problemes inverses associes a l’equation de Schrodinger magnetique. Dans la premiere partie, on s’interesse a un probleme inverse concernant l’equation de Schrodinger autonome posee dans un domaine cylindrique non borne, avec potentiel magnetique periodique. On demontre a l’aide d’une construction de solutions particulieres, dites solutions de type "optique geometrique", que le champ magnetique induit par le potentiel periodique est determine de facon stable a partir une infinite d’observations laterales de la solution, contenues dans l’operateur de Dirichlet-Neumann. La deuxieme partie de la these porte sur le meme type de problemes inverses mais associes a l’equation de Schrodinger magnetique non autonome. Dans un premier temps, on montre l’existence d’une unique solution reguliere de cette equation dans un domaine borne ou non. Ensuite, on s’interesse au probleme inv...
Journal of Inverse and Ill-posed Problems, 2017
We study the inverse problem of determining the magnetic field and the electric potential appeari... more We study the inverse problem of determining the magnetic field and the electric potential appearing in the magnetic Schrödinger equation from the knowledge of a finite number of lateral observations of the solution. We prove a Lipschitz stability estimate for both coefficients simultaneously by choosing the “initial” conditions suitably.
Journal of the American Oil Chemists Society, 1957
Fetal & Pediatric Pathology, 1986
The incidence of amniotic fluid infection syndrome, as assessed by the presence of an acute infla... more The incidence of amniotic fluid infection syndrome, as assessed by the presence of an acute inflammatory infiltrate of the placenta, umbilical cord, and membranes at birth, was 23.3% in pregnancies complicated by severe abruptio placentae. This was not significantly higher than that noted in uncomplicated pregnancies. These data therefore fail to support the proposal that amniotic fluid infection predisposes to placental abruption.
Journal of Mathematical Physics, 2016
In this article, we study the boundary inverse problem of determining the aligned magnetic field ... more In this article, we study the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic Schrödinger equation in a periodic quantum cylindrical waveguide. Provided that the Dirichlet-to-Neumann map of the magnetic Schrödinger equation. We prove a Hölder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrödinger equation.
We consider the boundary inverse problem of determining the aligned magnetic field appearing in t... more We consider the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic wave equation in a periodic quantum cylindrical waveguide from boundary observations. The observation is given by the Dirichlet to Neumann map associated to the wave equation. We prove by means of the geometrical optics solutions of the magnetic wave equation that the knowledge of the Dirichlet-to-Neumann map determines uniquely the aligned magnetic field induced by a time independent and 1-periodic magnetic potential. We establish a Holder-type stability estimate in the inverse problem.
Les travaux de recherche presentes dans cette these sont consacres a l’etude de la stabilite dans... more Les travaux de recherche presentes dans cette these sont consacres a l’etude de la stabilite dans divers problemes inverses associes a l’equation de Schrodinger magnetique. Dans la premiere partie, on s’interesse a un probleme inverse concernant l’equation de Schrodinger autonome posee dans un domaine cylindrique non borne, avec potentiel magnetique periodique. On demontre a l’aide d’une construction de solutions particulieres, dites solutions de type "optique geometrique", que le champ magnetique induit par le potentiel periodique est determine de facon stable a partir une infinite d’observations laterales de la solution, contenues dans l’operateur de Dirichlet-Neumann. La deuxieme partie de la these porte sur le meme type de problemes inverses mais associes a l’equation de Schrodinger magnetique non autonome. Dans un premier temps, on montre l’existence d’une unique solution reguliere de cette equation dans un domaine borne ou non. Ensuite, on s’interesse au probleme inv...
Journal of Inverse and Ill-posed Problems, 2017
We study the inverse problem of determining the magnetic field and the electric potential appeari... more We study the inverse problem of determining the magnetic field and the electric potential appearing in the magnetic Schrödinger equation from the knowledge of a finite number of lateral observations of the solution. We prove a Lipschitz stability estimate for both coefficients simultaneously by choosing the “initial” conditions suitably.
Journal of the American Oil Chemists Society, 1957
Fetal & Pediatric Pathology, 1986
The incidence of amniotic fluid infection syndrome, as assessed by the presence of an acute infla... more The incidence of amniotic fluid infection syndrome, as assessed by the presence of an acute inflammatory infiltrate of the placenta, umbilical cord, and membranes at birth, was 23.3% in pregnancies complicated by severe abruptio placentae. This was not significantly higher than that noted in uncomplicated pregnancies. These data therefore fail to support the proposal that amniotic fluid infection predisposes to placental abruption.
Journal of Mathematical Physics, 2016
In this article, we study the boundary inverse problem of determining the aligned magnetic field ... more In this article, we study the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic Schrödinger equation in a periodic quantum cylindrical waveguide. Provided that the Dirichlet-to-Neumann map of the magnetic Schrödinger equation. We prove a Hölder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrödinger equation.