3 papers
math.AP2010
Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation
Lucie Baudouin, Eduardo Cerpa, Emmanuelle Crépeau +1
This paper presents an inverse problem for the nonlinear 1-d Kuramoto-Sivashinsky (K-S) equation. More precisely, we study the nonlinear inverse problem of retrieving the anti-diff…
math-ph2009
Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schrödinger Operator
Taous-Meriem Laleg-Kirati, Emmanuelle Crépeau, Michel Sorine
This article introduces a new signal analysis method. The main idea consists in interpreting a pulse-shaped signal, after multiplying it by a positive parameter, as a potential of…
math-ph2007
New Cardiovascular Indices Based on a Nonlinear Spectral Analysis of Arterial Blood Pressure Waveforms
Taous-Meriem Laleg, Claire Médigue, Yves Papelier +2
A new method for analyzing arterial blood pressure is presented in this report. The technique is based on the scattering transform and consists in solving the spectral problem asso…