Variational Methods for Boundary Value Problems For Systems of Elliptic Equations - Rilegato

Lavrent'ev, M. A.; Radok, J. R. M.

 
9780486450780: Variational Methods for Boundary Value Problems For Systems of Elliptic Equations
Rilegato
ISBN 10: 0486450783 ISBN 13: 9780486450780
Casa editrice: Dover Pubns, 2006

Sinossi

In this famous work, a distinguished Russian mathematical scholar presents an innovative approach to classical boundary value problems — one that may be used by mathematicians as well as by theoreticians in mechanics. The approach is based on a number of geometric properties of conformal and quasi-conformal mappings. It employs the general basic scheme for the solution of variational problems first suggested by Hilbert and developed by Tonnelli. The method lies on the boundary between the classical methods of analysis, with their concrete estimates and approximate formulae, and the methods of the theory of functions of a real variable with their special character and general theoretical quantitative aspects.
The first two chapters cover variational principles of the theory of conformal mapping and behavior of a conformal transformation on the boundary. Succeeding chapters address hydrodynamic applications and quasi-conformal mappings, as well as linear systems and the simplest classes of non-linear systems.
Mathematicians will find the method of the proof of the existence and uniqueness theorem of special interest. Theoreticians in mechanics will consider the approximate formulae for conformal and quasi-conformal mappings highly useful in solving many concrete problems of the mechanics of continuous media. This classic work is also a valuable resource for researchers in the fields of mathematics and physics.

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Product Description

Book by Lavrentev M A

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2006
Lingua
Inglese
ISBN 10 
0486450783
ISBN 13 
9780486450780
Rilegatura
Copertina rigida
Numero di pagine
153
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780486661704: Variational Methods for Boundary Value Problems for Systems of Elliptic Equations

Edizione in evidenza

ISBN 10:  0486661709 ISBN 13:  9780486661704
Casa editrice: Dover Pubns, 2016
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