000 02341nam a22003738i 4500
001 CR9780511623721
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s1995||||enk o ||1 0|eng|d
020 _a9780511623721 (ebook)
020 _z9780521472500 (hardback)
020 _z9780521587105 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA320
_b.D317 1995
082 0 0 _a515/.7242
_220
100 1 _aDavies, E. B.
_q(Edward Brian),
_eauthor.
245 1 0 _aSpectral theory and differential operators /
_cE.B. Davies.
246 3 _aSpectral Theory & Differential Operators
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (ix, 182 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v42
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 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 on Banach spaces. However, it describes the theory of Fourier transforms and distributions as far as is needed to analyse the spectrum of any constant coefficient partial differential operator. 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 techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the subject.
650 0 _aSpectral theory (Mathematics)
650 0 _aElliptic operators.
776 0 8 _iPrint version:
_z9780521472500
830 0 _aCambridge studies in advanced mathematics ;
_v42.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511623721
999 _c516712
_d516710