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Nonlinear Potential Theory of Degenerate Elliptic Equations

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Цена: 2752р.
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Автор: Heinonen Juha
Название:  Nonlinear Potential Theory of Degenerate Elliptic Equations
Перевод названия: Теория нелинейного потенциала вырожденных элиптических уравнений
ISBN: 9780486450506
Издательство: Dover
ISBN-10: 0486450503
Обложка/Формат: Trade Paperback
Страницы: 416
Вес: 0.367 кг.
Дата издания: 06.10.2006
Серия: Mathematics
Язык: English
Размер: 5 3/8 x 8 1/2 inch
Поставляется из: США

Variational Methods for Boundary Value Problems for Systems of Elliptic Equations

Автор: Lavrent`ev, M. A.
Название: Variational Methods for Boundary Value Problems for Systems of Elliptic Equations
ISBN: 0486661709 ISBN-13(EAN): 9780486661704
Издательство: Dover
Цена: 1786 р.
Наличие на складе: Нет в наличии.

Описание: 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

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Автор: Bergman Stefan
Название: Kernel Functions and Elliptic Differential Equations in Mathematical Physics
ISBN: 0486445534 ISBN-13(EAN): 9780486445533
Издательство: Dover
Цена: 3442 р.
Наличие на складе: Нет в наличии.

Описание: This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.
The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.

Approximation of Elliptic Boundary-Value Problems

Автор: Aubin Jean-Pierre
Название: Approximation of Elliptic Boundary-Value Problems
ISBN: 0486457915 ISBN-13(EAN): 9780486457918
Издательство: Dover
Цена: 2752 р.
Наличие на складе: Нет в наличии.

Описание: A marriage of the finite-differences method with variational methods for solving boundary-value problems, the finite-element method is superior in many ways to finite-differences alone. This self-contained text for advanced undergraduates and graduate students is intended to imbed this combination of methods into the framework of functional analysis. 1980 edition.

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