Spectral Geometry of Partial Differential Operators

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Ruzhansky, Michael, Sadybekov, Makhmud, Suragan, Durvudkhan
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Boca Raton CRC Press 2020
No Funder Information Available
Taylor & Francis
Chapman & Hall
Ausgabe:1
Schriftenreihe:Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Schlagworte:
Advanced Mathematics
Advanced Topics
Analysis - Mathematics
Applied mathematics
Banach Space
bounded linear operators
Calculus and mathematical analysis
Cauchy Sequence
Differential calculus and equations
Dirichlet Laplacian
Euler Poisson System
Fredholm operators
Functional Analysis
Functional analysis and transforms
Generalised Derivative
Hardy Littlewood Inequality
Hilbert Space
Lebesgue integral
linear differential operators
Linear Normed Space
Linear Space
Mathematical Analysis
Mathematical Physics
Mathematics
Mathematics and Science
MATHnetBASE
Nonnegative Measurable Functions
Operator Theory
Partial differential operators
Physics
Probability and statistics
Pure Mathematics
Riesz' inequality
SCI-TECHnetBASE
Separable Infinite Dimensional Hilbert Space
Spectral geometry
spectral invariants
STMnetBASE
Symmetric Rearrangement
Vlasov Poisson Equations
Vlasov Poisson System
Dirichlet Laplacian
Gaseous Stars
Hardy Littlewood Inequality
Smooth Nonnegative Function
Vlasov Poisson Equations
Euler Poisson System
Cauchy Sequence
Sobolev Space
Ordinary Differential Equation
Nonnegative Measurable Functions
Vlasov Poisson System
Generalised Derivative
Separable Infinite Dimensional Hilbert Space
Banach Space
Galactic Dynamics
Symmetric Rearrangement
Linear Normed Space
Linear Space
Symmetric Steady States
Lebesgue Integral
Online Lecture Note
Hilbert Space
ISBN:1138360716, 9781138360716, 9780429432965, 9780429780578, 0429780567, 9780429780554, 0429780559, 9780429780561, 0429432968, 0429780575
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
Bibliographie:A Chapman & Hall book
Includes bibliographical references (p. 353-362) and index
ISBN:1138360716
9781138360716
9780429432965
9780429780578
0429780567
9780429780554
0429780559
9780429780561
0429432968
0429780575
DOI:10.1201/9780429432965