عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789048148455
(Number (ISBN
9789401588041
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408378
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The Analysis of Solutions of Elliptic Equations
General Material Designation
[Book]
First Statement of Responsibility
by Nikolai N. Tarkhanov.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1997.
SERIES
Series Title
Mathematics and Its Applications ;
Volume Designation
406
CONTENTS NOTE
Text of Note
List of Main Notations -- 1 Removable Singularities -- 2 Laurent Series -- 3 Representation of Solutions with Non-Discrete Singularities -- 4 Uniform Approximation -- 6 BMO Approximation -- 7 Conditional Stability -- 8 The Cauchy Problem -- 9 Quasiconformality -- Name Index -- Index of Notation.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789048148455
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial.
Functional analysis.
Mathematics.
Potential theory (Mathematics).
PERSONAL NAME - PRIMARY RESPONSIBILITY
Tarkhanov, Nikolai N.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301073900.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
