Inverse Boundary Spectral Problems (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 123) - Softcover

Buch 11 von 34: Monographs and Surveys in Pure and Applied Mathematics

Kachalov, Alexander; Kurylev, Yaroslav; Lassas, Matti

 
9780367397050: Inverse Boundary Spectral Problems (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 123)
Softcover
ISBN 10: 0367397056 ISBN 13: 9780367397050
Verlag: Chapman and Hall/CRC, 2019

Inhaltsangabe

Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical problems.

Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems exactly. In it, the authors consider the following:

"Can the unknown coefficients of an elliptic partial differential equation be determined from the eigenvalues and the boundary values of the eigenfunctions?"

Along with this problem, many inverse problems for heat and wave equations are solved.

The authors approach inverse problems in a coordinate invariant way, that is, by applying ideas drawn from differential geometry. To solve them, they apply methods of Riemannian geometry, modern control theory, and the theory of localized wave packets, also known as Gaussian beams. The treatment includes the relevant background of each of these areas.

Although the theory of inverse boundary spectral problems has been in development for at least 10 years, until now the literature has been scattered throughout various journals. This self-contained monograph summarizes the relevant concepts and the techniques useful for dealing with them.

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Über die Autorin bzw. den Autor

Kachalov, Alexander; Kurylev, Yaroslav; Lassas, Matti

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
0367397056
ISBN 13 
9780367397050
Einband
Taschenbuch
Anzahl der Seiten
290
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9781584880059: Inverse Boundary Spectral Problems (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS)

Vorgestellte Ausgabe

ISBN 10:  1584880058 ISBN 13:  9781584880059
Verlag: Chapman and Hall/CRC, 2001
Hardcover