rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Spectral geometry of partial differential operators
  name:
    name part: Ruzhansky, M. (Michael)
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Sadybekov, Makhmud
    role:
      role term: author.
  name:
    name part: Suragan, Durvudkhan
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2020
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: "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"--
  table of contents: Functional spaces -- Foundations of linear operator theory -- Elements of the spectral theory of differential operators -- Symmetric decreasing rearrangements and applications -- Inequalities of spectral geometry.
  note: Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan.
  note: Includes bibliographical references and index.
  note: 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.
  note: English.
  subject:
    topic: Spectral geometry
  subject:
    topic: Partial differential operators
  subject:
    topic: Géométrie spectrale
  subject:
    topic: Opérateurs différentiels partiels
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical foundations
  subject:
    topic: Functional analysis & transforms
  subject:
    topic: Differential calculus & equations
  subject:
    topic: MATHEMATICS
    topic: General
  subject:
    topic: MATHEMATICS
    topic: Arithmetic
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
  subject:
    topic: Partial differential operators
  subject:
    topic: Spectral geometry
  classification: QA614.95 .R89 2020eb
  classification: 516.3/62
  related item:
    title info:
      title: OAPEN (Open Access Publishing in European Networks)
    origin info:
      publisher: OAPEN
  related item:
    title info:
      title: Spectral geometry of partial differential operators
    name:
      name part: Ruzhansky, M. (Michael).
    origin info:
      publisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2020]
    identifier: (DLC) 2019051883
    identifier: (OCoLC)1130324487
  related item:
    title info:
      title: Monographs and research notes in mathematics
  identifier: 9780429432965
  identifier: 0429432968
  identifier: 9780429780561
  identifier: 0429780567
  identifier: 9780429780554
  identifier: 0429780559
  identifier: 9780429780578
  identifier: 0429780575
  identifier: 9781138360716
  identifier: 1138360716
  identifier: 9780429432965 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: TYFRS
    record creation date: 200212
    record change date: 20241111204657.2
    record identifier: in00005527365
    language of cataloging:
      language term: eng