The Analysis of Solutions of Elliptic Equations (Record no. 579279)

MARC details
000 -LEADER
fixed length control field 02016nam a2200169la 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250807s9999 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780792345312
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.3533
Item number TAR
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Tarkhanov, Nikolai
245 #0 - TITLE STATEMENT
Title The Analysis of Solutions of Elliptic Equations
Statement of responsibility, etc Tarkhanov, Nikolai
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer Science & Business Media
Year of publication 1997
300 ## - PHYSICAL DESCRIPTION
Number of Pages 512 pages
520 ## - SUMMARY, ETC.
Summary, etc This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see [291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications. We consider, as a rule, differential operators having a simple structure on open subsets of Rn. Currently, this area is not being investigated very actively, possibly because it is already very highly developed actively (cf. for example the book of Palamodov [213]). However, even in this (well studied) situation the general ideas from [291] allow us to obtain new results in the qualitative theory of differential equations and frequently in definitive form. The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin [303] for uniform and mean approximation by solutions of an elliptic system. Somewhat afield are several questions on ill-posedness, but the parametrix method enables us to obtain here a series of hitherto unknown facts.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type English Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Shelving location Date acquired Full call number Accession Number Price effective from Koha item type
        Anna Centenary Library Anna Centenary Library 5TH FLOOR, A WING 07.08.2025 515.3533 TAR 208997 07.08.2025 English Books

Find us on the map