Variational Methods for Boundary Value Problems for Systems of Elliptic Equations

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Variational Methods for Boundary Value Problems for Systems of Elliptic Equations by M. A. Lavrent’ev, Dover Publications
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Author: M. A. Lavrent’ev ISBN: 9780486160283
Publisher: Dover Publications Publication: January 14, 2016
Imprint: Dover Publications Language: English
Author: M. A. Lavrent’ev
ISBN: 9780486160283
Publisher: Dover Publications
Publication: January 14, 2016
Imprint: Dover Publications
Language: English
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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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

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