Heat Kernels and spectral theory / E. B. Davies
Type de document : MonographieCollection : Cambridge tracts in mathematics, 92Langue : anglais.Pays: Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1990Description : 1 vol. (IX-197 p.) ; 23 cmISBN: 0521409977.ISSN: 0950-6284.Bibliographie : Bibliogr. p. [187]-194. Index.Sujet MSC : 35P05, Spectral theory and eigenvalue problems for PDEs, General topics in linear spectral theory for PDEs35J25, PDEs - Elliptic equations and elliptic systems, Boundary value problems for second-order elliptic equations
35J10, PDEs - Elliptic equations and elliptic systems, Schrödinger operator, Schrödinger equation
35K05, PDEs - Parabolic equations and parabolic systems, Heat equation
46E35, Functional analysis - Linear function spaces and their duals, Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theoremsEn-ligne : Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 35 DAV (Browse shelf(Opens below)) | Available | 10689-01 |
This advanced monograph investigates through a study of heat kernels the spectral properties of linear, selfadjoint elliptic differential operators and obtains pointwise bounds for associated eigenfunctions. The book is a first account of the new techniques which can be used as a result of the recent improvements in understanding of the heat kernels obtained by means of quadratic form technique and logarithmic Sobolev inequalities. In contrast to older theories the new method enables pointwise upper and lower bounds to be obtained in terms of constants which are computable and, in many cases, sharp. The adopted approach, which is entirely analytical, enables operators in divergence form with measurable second order coefficients to be dealt with in a straightforward way. ... (Zentralblatt)
Bibliogr. p. [187]-194. Index
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