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Author Lavrentʹev, M. A. (Mikhail Alekseevich), 1900-1980.

Title Variational Methods for Boundary Value Problems for Systems of Elliptic Equations / M. A. Lavrent’ev.

Publication Info. [Place of publication not identified] : Dover Publications, [2016]
©2016

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Description 1 online resource (160 pages)
Access Access limited to subscribing institutions.
Summary 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.
System Details System requirements: Adobe Digital editions.
Note Print version record.
Subject MATHEMATICS / Applied.
Fluid dynamics.
Boundary value problems.
Conformal mapping.
Calculus of variations.
Genre/Form Electronic books.
Added Author Radok, J. R. M. (Jens Rainer Maria)
Added Title Variat︠s︡ionnyĭ metod v kraevykh zadachakh dli︠a︡ sistem uravneniĭ ėllipticheskogo tipa. English
Other Form: Print version: Lavrentʹev, M. A. (Mikhail Alekseevich), 1900-1980. Variational methods for boundary value problems for systems of elliptic equations / Mineola, NY : Dover Publications, 2006. 0486450783 (pbk.) (DLC)2005058850
Standard No. 9780486160283
ISBN 9780486160283 (e-pub)
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