Spectral Geometry of Partial Differential Operators Contributor(s): Ruzhansky, Michael (Author), Sadybekov, Makhmud (Author), Suragan, Durvudkhan (Author) |
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ISBN: 1138360716 ISBN-13: 9781138360716 Publisher: CRC Press OUR PRICE: $190.00 Product Type: Hardcover - Other Formats Published: February 2020 |
Additional Information |
BISAC Categories: - Mathematics | Arithmetic - Mathematics | Differential Equations - General - Mathematics | Functional Analysis |
Dewey: 516.362 |
LCCN: 2019051883 |
Series: Chapman & Hall/CRC Research Notes in Mathematics |
Physical Information: 378 pages |
Descriptions, Reviews, Etc. |
Publisher Description: The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features:
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