Spectral geometry of partial differential operators [electronic resource] / Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan.

"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 geometr...

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Bibliographic Details
Main Authors: Ruzhansky, M. (Michael) (Author)
Sadybekov, Makhmud (Author)
Suragan, Durvudkhan (Author)
Language:English
Published: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2020]
Subjects:
Online Access:
Format: Electronic eBook

MARC

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020 |z 9781138360716 
020 |a 9780429432965 (online) 
020 |a 9780429780561 (online) 
020 |a 9780429780578 (online) 
035 |a (EBZ)ebs25219939e 
040 |a LBSOR/DLC   |b eng   |d EBZ 
042 |a pcc 
050 0 0 |a QA614.95  |b .R89 2020 
100 1 |a Ruzhansky, M.  |q (Michael),  |e author. 
245 1 0 |a Spectral geometry of partial differential operators  |h [electronic resource] /  |c Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan. 
264 1 |a Boca Raton, FL :  |b CRC Press, Taylor & Francis Group,  |c [2020] 
504 |a Includes bibliographical references and index. 
505 0 |a Functional spaces -- Foundations of linear operator theory -- Elements of the spectral theory of differential operators -- Symmetric decreasing rearrangements and applications -- Inequalities of spectral geometry. 
520 |a "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: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory"--  |c Provided by publisher. 
650 0 |a Spectral geometry. 
650 0 |a Partial differential operators. 
700 1 |a Sadybekov, Makhmud,  |e author. 
700 1 |a Suragan, Durvudkhan,  |e author. 
773 0 |t Taylor & Francis eBooks (Open Access)   |d Taylor and Francis 
773 0 |t Open Research Library (ORL)   |d OAPEN 
773 0 |t OAPEN (Open Access Publishing in European Networks)   |d OAPEN 
773 0 |t DOAB Directory of Open Access Books   |d OAPEN 
776 1 |t Spectral geometry of partial differential operators /  |w (DLC)2019051883 
856 4 0 |y Access Content Online(from Taylor & Francis eBooks (Open Access))  |u https://www.taylorfrancis.com/books/9780429432965  |z Taylor & Francis eBooks (Open Access): 2020 
856 4 0 |y Access Content Online(from Open Research Library (ORL))  |u https://openresearchlibrary.org/viewer/40e5bde0-738b-4307-928a-876553785cb6  |z Open Research Library (ORL): 2020 
856 4 0 |y Access Content Online(from OAPEN (Open Access Publishing in European Networks))  |u https://library.oapen.org/handle/20.500.12657/22497  |z OAPEN (Open Access Publishing in European Networks): 2020 
856 4 0 |y Access Content Online(from DOAB Directory of Open Access Books)  |u https://directory.doabooks.org/handle/20.500.12854/36910  |z DOAB Directory of Open Access Books: 2020