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Spectral Geometry of Partial Differential Operators (Open Access) Synopsis

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.

Book Information

ISBN: 9781138360716
Publication date: 26th February 2020
Author: Michael (Ghent University, Belgium) Ruzhansky, Makhmud Sadybekov, Durvudkhan (Nazarbayev University, Khazakhstan) Suragan
Publisher: CRC Press an imprint of Taylor & Francis Ltd
Format: Hardback
Pagination: 366 pages
Categories: Mathematics, Calculus & mathematical analysis, Functional analysis & transforms, Calculus & mathematical analysis, Mathematics, Mathematics, Mathematical physics, Probability & statistics,

About Michael (Ghent University, Belgium) Ruzhansky, Makhmud Sadybekov, Durvudkhan (Nazarbayev University, Khazakhstan) Suragan

Michael Ruzhansky is a Senior Full Professor of Mathematics at Ghent University, Belgium, and a Professor of Mathematics at the Queen Mary University of London, United Kindgdom. He is currently also an Honorary Professor of Pure Mathematics at Imperial College London, where he has been working in the period 2000-2018. His research is devoted to different topics in the analysis of partial differential equations, harmonic and non-harmonic analysis, spectral theory, microlocal analysis, as well as the operator theory and functional inequalities on groups. His research was recognised by the ISAAC Award 2007, Daiwa Adrian Prize 2010, as well as by the Ferran ...

More About Michael (Ghent University, Belgium) Ruzhansky, Makhmud Sadybekov, Durvudkhan (Nazarbayev University, Khazakhstan) Suragan

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