Inverse Problem for a Curved Quantum Guide

Autor: Laure Cardoulis, Michel Cristofol

Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)

We consider the Dirichlet Laplacian operator −Δ on a curved quantum guide in ℝ n(n=2,3) with an asymptotically straight reference curve. We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by usin

Externí odkaz: https://doaj.org/article/341007c6d18444d096b8643be3fd5c52

Stable reconstruction of the volatility in a regime-switching local-volatility model

Autor: Raymond Brummelhuis, Michel Cristofol, Mourad Bellassoued, Eric Soccorsi

Publikováno v: Mathematical Control and Related Fields
Mathematical Control and Related Fields, 2020, 10 (1), pp.189-215. ⟨10.3934/mcrf.2019036⟩
Mathematical Control & Related Fields
Mathematical Control & Related Fields, 2020, 10 (1), pp.189-215. ⟨10.3934/mcrf.2019036⟩

International audience; Prices of European call options in a regime-switching local-volatility model can be computed by solving a parabolic system which generalizes the classical Black and Scholes equation, giving these prices as functionals of the l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83d47dee9b20cb893a65f66913d8b4ba
https://hal.science/hal-03130973

Mathematical and Numerical Approaches for Multi-Wave Inverse Problems : CIRM, Marseille, France, April 1–5, 2019

Autor: Larisa Beilina, Maïtine Bergounioux, Michel Cristofol, Anabela Da Silva, Amelie Litman

This proceedings volume gathers peer-reviewed, selected papers presented at the “Mathematical and Numerical Approaches for Multi-Wave Inverse Problems” conference at the Centre Internacional de Rencontres Mathématiques (CIRM) in Marseille, Franc

An inverse problem for the heat equation in an unbounded guide

Autor: Michel Cristofol, Laure Cardoulis

Publikováno v: Applied Mathematics Letters
Applied Mathematics Letters, Elsevier, 2016, 62, pp.63-68. ⟨10.1016/j.aml.2016.06.015⟩
Applied Mathematics Letters, 2016, 62, pp.63-68. ⟨10.1016/j.aml.2016.06.015⟩

In this paper we prove a stability result for the reconstruction of the potential q associated with the operator ∂ t − Δ + q in an infinite guide using a finite number of localized observations.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa4f502516f264f3a446915717bb6fd7
https://doi.org/10.1016/j.aml.2016.06.015

Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem

Autor: Shumin Li, Larisa Beilina, Michel Cristofol

Publikováno v: Non Linear and Inverse Problems in Electromagnetics
Yu. G. Smirnov; L. Beilina. Non Linear and Inverse Problems in Electromagnetics, 243, Springer, pp.133-145, 2018, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-319-94060-1_10⟩
Springer Proceedings in Mathematics & Statistics ISBN: 9783319940595

Proceedings of PIERS 2017, St. Petersburg, Russia, May 22-25; International audience; This paper is devoted to the reconstruction of the time and space-dependent coefficient in an inverse hyperbolic problem in a bounded domain. Using a local Carleman

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55a90b2e1399a9fdf78b2648a05705e7
https://hal.science/hal-03560881