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Spectral Geometry of Partial Differential Operators (Monographs and Research Notes in Mathematics) - Hardcover

Buch 63 von 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Ruzhansky, Michael; Sadybekov, Makhmud; Suragan, Durvudkhan

 
9781138360716: Spectral Geometry of Partial Differential Operators (Monographs and Research Notes in Mathematics)
Hardcover
ISBN 10: 1138360716 ISBN 13: 9781138360716
Verlag: CRC Press, 2020

Inhaltsangabe

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.

    • Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Über die Autorin bzw. den Autor

    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 Sunyer I Balaguer Prizes in 2014 and 2018.

    Makhmud Sadybekov

    is a Kazakhstani mathematician who graduated from the Kazakh State University (Almaty, Kazakhstan) in 1985 and received his doctorate in physical-mathematical sciences in 1993. He is a specialist in the field of Ordinary Differential Equations, Partial Differential Equations, Equations of Mathematical Physics, Functional Analysis, Operators Theory. Currently he is Director General at the Institute of Mathematics and Mathematical Modeling in Almaty, Kazakhstan.

    Durvudkhan Suragan

    an associate professor at Nazarbayev University. He won the Ferran Sunyer i Balaguer Prize in 2018. He has previously worked in spectral geometry, and in the theory of subelliptic inequalities at Imperial College London as a research associate and as a leading researcher in the Institute of Mathematics and Mathematical Modeling.

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    Verlag
    CRC Press
    Erscheinungsdatum
    2020
    Sprache
    Englisch
    ISBN 10 
    1138360716
    ISBN 13 
    9781138360716
    Einband
    Gebundene Ausgabe
    Anzahl der Seiten
    366
    Kontakt zum Hersteller
    CRC Press
    https://www.routledge-ny.com

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