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Direct methods in the theory of elliptic equations (Record no. 567202)

MARC details
000 -LEADER
fixed length control field 03253 a2200289 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250205120459.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250205b xxu||||| |||| 00| 0 eng d n
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783642104541
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.3533
Item number N28d
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Necas, Jindrich
245 ## - TITLE STATEMENT
Title Direct methods in the theory of elliptic equations
Statement of responsibility, etc Jindrich Necas; translated by Gerard Tronel and Alois Kulfner; editorial coordinated and prefaced by Sarka Necasova; contributed by Christian G. Simader
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer
Year of publication 2012
Place of publication Berlin
300 ## - PHYSICAL DESCRIPTION
Number of Pages xvi, 372p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Springer Monographs in mathematics
520 ## - SUMMARY, ETC.
Summary, etc <br/>Nečas’ book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas’ work essentially in the form it was published in 1967. It gives a timeless and in some sense definitive treatment of a number issues in variational methods for elliptic systems and higher order equations. The text is recommended to graduate students of partial differential equations, postdoctoral associates in Analysis, and scientists working with linear elliptic systems. In fact, any researcher using the theory of elliptic systems will benefit from having the book in his library.<br/><br/>The volume gives a self-contained presentation of the elliptic theory based on the "direct method", also known as the variational method. Due to its universality and close connections to numerical approximations, the variational method has become one of the most important approaches to the elliptic theory. The method does not rely on the maximum principle or other special properties of the scalar second order elliptic equations, and it is ideally suited for handling systems of equations of arbitrary order. The prototypical examples of equations covered by the theory are, in addition to the standard Laplace equation, Lame’s system of linear elasticity and the biharmonic equation (both with variable coefficients, of course). General ellipticity conditions are discussed and most of the natural boundary condition is covered. The necessary foundations of the function space theory are explained along the way, in an arguably optimal manner. The standard boundary regularity requirement on the domains is the Lipschitz continuity of the boundary, which "when going beyond the scalar equations of second order" turns out to be a very natural class. These choices reflect the author's opinion that the Lamesystem and the biharmonic equations are just as important as the Laplace equation, and that the class of the domains with the Lipschitz continuous boundary (as opposed to smooth domains) is the most natural class of domains to consider in connection with these equations and their applications.<br/>
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Differential equations, elliptic
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Differential equations, partial
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Functional analysis
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Tronel, Gerard [tr.]
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Kufner, Alois [tr.]
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Necasova, Sarka [edtl. coord. and pre.]
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Simader, Christian G. [con.]
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 17/02/2025 57 6494.53 515.3533 N28d A186689 11197.47 Books

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