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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Introduction to Inverse Problems for Evolution Equations: Stability and Uniqueness by Carleman Estimates

Introduction to Inverse Problems for Evolution Equations: Stability and Uniqueness by Carleman Estimates

Yamamoto, Masahiro

Paperback

Series: Lecture Notes Of The Unione Matematica Italiana, Book 29

General Mathematics

ISBN10: 303186266X
ISBN13: 9783031862663
Publisher: Springer
Published: Aug 31 2025
Pages: 287
Weight: 0.94
Height: 0.64 Width: 6.14 Depth: 9.21
Language: English
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.

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