Introduction to Inverse Problems for Evolution Equations : Stability and Uniqueness by Carleman Estimates
Language: English
Published by Springer, 2025
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Druck auf Anfrage Neuware - Printed after ordering - 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.
Seller Inventory # 9783031862663
- Title
- Introduction to Inverse Problems for Evolution Equations : Stability and Uniqueness by Carleman Estimates
- Author
- Masahiro Yamamoto
- Publisher
- Springer
- Publication year
- 2025
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 303186266X
- ISBN 13
- 9783031862663
- Item weight
- 464 grams
- Dimensions
- 235x155x17 mm
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.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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