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

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9780486661704: Variational Methods for Boundary Value Problems for Systems of Elliptic Equations (Dover Books on Mathematics)

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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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.

Language Notes:

Text: English (translation)
Original Language: Russian

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Lavrentev, M. A.
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M. A. Lavrent ev
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Descripción Dover Publications Inc., United States, 2016. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486661704

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Descripción Dover Publications Inc., United States, 2016. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486661704

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Descripción Dover Publications Inc., United States, 2016. Paperback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería BTE9780486661704

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Descripción Dover Pubns, 2016. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486661704

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Descripción Paperback. Estado de conservación: New. Paperback. 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 theoretici.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 160 pages. 0.168. Nº de ref. de la librería 9780486661704

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M. a. Lavrentev; Mikhail Alekseevich Lavrent'ev
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