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Spectra of partial differential operators by Martin Schechter

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Published by North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. in Amsterdam, New York, New York, N.Y., U.S.A .
Written in English

Subjects:

  • Partial differential operators.,
  • Spectral theory (Mathematics)

Book details:

Edition Notes

Statementby Martin Schechter.
SeriesNorth-Holland series in applied mathematics and mechanics ;, v. 14
Classifications
LC ClassificationsQA329.42 .S33 1986
The Physical Object
Paginationxiii, 310 p. ;
Number of Pages310
ID Numbers
Open LibraryOL2539721M
ISBN 10044487822X
LC Control Number85020730

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  Spectra of Partial Differential Operators (NORTH-HOLLAND SERIES IN APPLIED MATHEMATICS AND MECHANICS) Subsequent Edition by Martin Schechter (Author)Cited by: Spectra of partial differential operators. (Book, ) [] Get this from a library! Spectra of partial differential operators. Spectra of Partial Differential Operators by Martin Schechter, , available at Book Depository with free delivery worldwide. Get this from a library! Spectra of partial differential operators. [Martin Schechter].

  A completely new proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second order elliptic differential operators, from those with discrete spectrum to Schrödinger operators acting on L2(RN), The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form book Format: Printed Access Code. Book Description The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators . This book is an introduction to the theory of partial differential operators. It assumes that the reader has a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators .   The book begins with a fairly elementary introduction to the theory of Fourier series of continuous functions and goes on to describe the fundamental theory of linear partial differential equations of elliptic and hyperbolic types, equations of evolution, semi-linear hyperbolic equations and selected topics on Green's functions and spectra Reviews: 1.

  This mini-course of 20 lectures aims at highlights of spectral theory for self-adjoint partial differential operators, with a heavy emphasis on problems with discrete spectrum. Part I: Discrete Spectrum (ODE preview, Laplacian - computable spectra, Schroedinger - computable spectra. Buchbesprechung M. Schechter, Spectra of Partial Differential Operators. (North‐Holland Series in Applied Mathematics and Mechanics, Vol. 14). XII + S. Amsterdam/London Partial differential operators 51 § 1. Constant coefficient operators 51 § 2. Operators with variable coefficients 53 § 3. Elliptic operators 55 CHAPTER 4. General 1? theory 57 § 1. The minimal operator 57 § 2. The maximal extension 60 § 3. The spectrum of the minimal operator . In Section 2, we discuss the spectral theory of self-adjoint elliptic partial differential operators and give the Hodge decomposition theorem. In Section 3, we define the classical elliptic complexes: de Rham, .