Introduction to Inverse Problems for Evolution Equations
Yamamoto, Masahiro
Produktnummer:
181727007f3bb846ef8da70b4030903e8f
| Autor: | Yamamoto, Masahiro |
|---|---|
| Themengebiete: | Carleman Estimate Elliptic Equation First-Order Transport Equation Hyperbolic Equation Inverse Problems for Evolution Equations Parabolic Equation Single Measurements Stability Tikhonov Regularization Uniqueness |
| Veröffentlichungsdatum: | 07.09.2025 |
| EAN: | 9783031862670 |
| Sprache: | Englisch |
| Seitenzahl: | 285 |
| Produktart: | Unbekannt |
| Verlag: | Springer International Publishing |
| Untertitel: | Stability and Uniqueness by Carleman Estimates |
Produktinformationen "Introduction to Inverse Problems for Evolution Equations"
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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