Téléchargez le livre : Introduction to Inverse Problems for Evolution Equations

Introduction to Inverse Problems for Evolution Equations

Stability and Uniqueness by Carleman Estimates

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Éditeur :

Springer


Paru le : 2025-08-30



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Description

Among several main formulations, the book treats inverse problems with single measurements by Carleman estimates and describes a method for proving the uniqueness and the stability for the first-order transport equations, parabolic equations, and hyperbolic equations. The book gives self-contained derivations of Carleman estimates, which do not rely on any general theory and simplified application method of the Carleman estimates to the inverse problems. Thus, the target audience is graduate students of faculty of sciences and interested graduate students from engineering fields. The book tries to limit the preliminary knowledge to a standard 4-year undergraduate course. In order to master the methodology, we restrict equations within first-order transport equations, parabolic equations and hyperbolic equations, but it is expected to apply the same methods for other evolution equations such as fluid dynamics.
Pages
287 pages
Collection
n.c
Parution
2025-08-30
Marque
Springer
EAN papier
9783031862663
EAN PDF
9783031862670
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
8100 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
105,49 €
EAN EPUB
9783031862670
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
18924 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
105,49 €

Masahiro Yamamoto, born in 1958 in Tokyo, Japan, completed his Ph.D. at The University of Tokyo in 1988 and has held various academic positions there, including Associate Professor from 1990 to 2010 and Professor from 2010 to 2024. He is currently a Project Professor at The University of Tokyo and a Professor at Zonguldak Bülent Ecevit University in Türkiye. He has engaged in multiple visiting professorships over the past decade at esteemed institutions such as Sapienza Università di Roma and has a notable history with various French universities and was an Alexander von Humboldt Fellow at Technische Universität München from 1992 to 1993.

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