Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature

Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature PDF Author: Iurii D. Burago
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 118

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Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature

Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature PDF Author: Iurii D. Burago
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 118

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Geometric Inequalities

Geometric Inequalities PDF Author: Yurii D. Burago
Publisher: Springer Science & Business Media
ISBN: 3662074419
Category : Mathematics
Languages : en
Pages : 346

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Book Description
A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory

Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory PDF Author: O. A. Ladyzhenskaya
Publisher: Springer Science & Business Media
ISBN: 1475746660
Category : Science
Languages : en
Pages : 86

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Mathematical Problems in Wave Propagation Theory

Mathematical Problems in Wave Propagation Theory PDF Author: V. M. Babich
Publisher: Springer Science & Business Media
ISBN: 1475703341
Category : Science
Languages : en
Pages : 109

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The papers comprising this collection are directly or indirectly related to an important branch of mathematical physics - the mathematical theory of wave propagation and diffraction. The paper by V. M. Babich is concerned with the application of the parabolic-equation method (of Academician V. A. Fok and M. A, Leontovich) to the problem of the asymptotic behavior of eigenfunc tions concentrated in a neighborhood of a closed geodesie in a Riemannian space. The techniques used in this paper have been föund useful in solving certain problems in the theory of open resonators. The topic of G. P. Astrakhantsev's paper is similar to that of the paper by V. M. Babich. Here also the parabolic-equation method is used to find the asymptotic solution of the elasticity equations which describes Love waves concentrated in a neighborhood of some surface ray. The paper of T. F. Pankratova is concerned with finding the asymptotic behavior of th~ eigenfunc tions of the Laplace operator from the exact solution for the surface of a triaxial ellipsoid and the re gion exterior to it. The first three papers of B. G. Nikolaev are somewhat apart from the central theme of the col lection; they treat the integral transforms with respect to associated Legendre functions of first kind and their applications. Examples of such applications are the use of this transform for the solution of integral equations with symmetrie kernels and for the solution of certain problems in the theory of electrical prospecting.

Investigations in Classical Problems of Probability Theory and Mathematical Statistics

Investigations in Classical Problems of Probability Theory and Mathematical Statistics PDF Author: V. M. Kalinin
Publisher: Springer Science & Business Media
ISBN: 1468482114
Category : Science
Languages : en
Pages : 149

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Automatic Programming and Numerical Methods of Analysis

Automatic Programming and Numerical Methods of Analysis PDF Author:
Publisher: Springer Nature
ISBN: 1461585880
Category :
Languages : en
Pages : 133

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Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 716

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Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952

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Mean Curvature Flow and Isoperimetric Inequalities

Mean Curvature Flow and Isoperimetric Inequalities PDF Author: Manuel Ritoré
Publisher: Springer Science & Business Media
ISBN: 3034602138
Category : Mathematics
Languages : en
Pages : 113

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Book Description
Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.

Studia Scientiarum Mathematicarum Hungarica

Studia Scientiarum Mathematicarum Hungarica PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 500

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