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About Une introduction aux problèmes inverses elliptiques et paraboliques
Cet ouvrage est consacré � une introduction aux problèmes inverses elliptiques et paraboliques. L’ objectif est de présenter quelques méthodes récentes pour établir des résultats d’unicité et de stabilité. Seront traités quelques problèmes inverses elliptiques devenus maintenant classiques, tels que la conductivité inverse, la détection de corrosion ou de fissures et les problèmes spectraux inverses. Parmi les problèmes inverses paraboliques considérés figurent le problème classique de retrouver une distribution initiale de la chaleur et la localisation de sources, de chaleur ou de pollution par exemple. Les problèmes d’identification de non linéarités seront aussi étudiés. Cet ouvrage s’adresse � tous ceux qui souhaitent s’ intéresser � l’analyse mathématique des problèmes inverses.This volume is devoted to an introduction of elliptic and parabolic inverse problems. The goal is to present some recent methods for establishing uniqueness and stability results. A number of classical elliptic inverse problems are studied, e.g. the inverse conductivity problem, the detection of corrosion or cracks and inverse spectral problems. Among the parabolic inverse problems, the classic problem of finding an initial distribution of heat and the location of sources is considered. This volume will be of interest to all those who want to learn the mathematical analysis of inverse problems.
Detailed Information
| Author: | Mourad Choulli (auth.) |
|---|---|
| Publication Year: | 2009 |
| ISBN: | 3642024599 |
| Pages: | 266 |
| Language: | French |
| File Size: | 3.451 |
| Format: | |
| Price: | FREE |
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