Variational Methods for Boundary Value Problems for Systems of Elliptic Equations (Dover Books on Advanced Mathematics) (Dover Books on Mathematics)

M. A. Lavrent'ev

ISBN 10: 0486661709 / ISBN 13: 9780486661704

Editore: Dover Publications Inc., 1989

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Type: Book N.B. Small plain label to inside front cover. Light rubbing to head and tail of spine. Codice articolo 056672

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Titolo: Variational Methods for Boundary Value ...

Casa editrice: Dover Publications Inc.

Data di pubblicazione: 1989

Legatura: Paperback

Condizione: Very Good

Condizione sovraccoperta: No d/j as Published

Descrizione articolo

Riassunto:

In this famous monograph, a distinguished mathematician 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 and employs the general basic scheme for solution of variational problems first suggested by Hilbert and developed by Tonnelli.
The first two chapters cover variational principles of the theory of conformal mapping and behavior of a conformal transformation on the boundary. Chapters 3 and 4 explore hydrodynamic applications and quasiconformal mappings, and the final two chapters address linear systems and the simplest classes of non-linear systems. Mathematicians will take particular interest in the method of the proof of the existence and uniqueness theorems as well as the general theory of quasi-conformal mappings. Theoreticians in mechanics will find the approximate formulas for conformal and quasi-conformal

L'autore:

M. A. Lavrent'ev (1900–80) was a prominent Soviet mathematician, associated with Moscow State University and the Steklov Institute of Mathematics.