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

Lavrent?ev, M. A.

ISBN 10: 0486661709 / ISBN 13: 9780486661704

Published by Dover Publications, 2016

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Bibliographic Details

• Title: Variational Methods for Boundary Value Problems for Systems of Elliptic Equations (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2016
• Language: English
• ISBN 10: 0486661709
• ISBN 13: 9780486661704
• Binding: Soft cover
• Condition: VeryGood

About this title

Synopsis

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

About the Author

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