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Springer Introduction to Inverse Problems for Evolution Equations: Stability and Uniqueness by Carleman Estimates: 29 (Lecture Notes of the Unione Matematica Italiana, 29)

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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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
31 August 2025
Listed Since
28 January 2025

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