Książka Introduction to Inverse Problems for Evolution Equations Masahiro Yamamoto

Introduction to Inverse Problems for Evolution Equations

Stability and Uniqueness by Carleman Estimates

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
465.97
Among several main formulations, the book treats inverse problems with single measurements by Carlem...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2025
strony
267
EAN
9783031862663
Enbook ID
47701798
Waga
426
Wymiary
155 x 235

Pełny opis

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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