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ePub Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: SET (Operator Theory: Advances and Applications) download

by Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij,B. Plamenevskij

ePub Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: SET (Operator Theory: Advances and Applications) download
Author:
Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij,B. Plamenevskij
ISBN13:
978-3764329648
ISBN:
3764329645
Language:
Publisher:
Birkhäuser; 2000 edition (September 20, 2000)
Category:
Subcategory:
Mathematics
ePub file:
1447 kb
Fb2 file:
1908 kb
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Rating:
4.6
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402

Operator Theory: Advances and Applications Asymptotic Theory of. .In particular, it treats the important special cases of thin domains, domains.

Operator Theory: Advances and Applications Asymptotic Theory of Elliptic Boundary. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. At the core of this work are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain.

Chapter Topological asymptotic expansions for quasilinear elliptic equations have not been studied yet.

from book Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains (p. 59-281). Here we deal with the homogenization of an ordinary differential operator on an ε-periodic net of curves in ℝ n. The role of the operator homogenized is played by a partial differential operator acting on functions in n variables. As a model we take the problem of the propagation of heat in a fine wire-cloth. Topological asymptotic expansions for quasilinear elliptic equations have not been studied yet. -21). Chapter · January 2000 with 1 Reads. Aiming at asymptotic analysis, singular perturbation theory is applied to the geometry-dependent objective function and results in a shape-topological derivative.

Автор: Vladimir Maz& B. Plamenevskij; Serguei Nazarov; Название: Asymptotic Theory of.Описание: This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations.

Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject.

Vladimir Maz'ya, Serguei Nazar. by V. G. Mazʹi︠a︡, Vladimir Maz'ya, Serguei Nazarov, Boris Plamenevskij. Published September 20, 2000 by Birkhauser. 1 2 3 4 5. Want to Read. Are you sure you want to remove Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: SET (Operator Theory: Advances and Applications) from your list? Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: SET (Operator Theory: Advances and Applications).

OT 111-112 Operator Theory: Advances and Applications. The first volume is devoted to domains whose boundary is smooth in a neighbourhood of finitely many conical points. In particular, the theory encompasses the important case of domains with small holes. Much attention is paid to concrete problems in mathematical physics, for example in elasticity theory.

2000 Volume I Operator Theory: Advances and Applications Series, Vol. 11. 3 Boundary value problems in the exterior of a bounded domain. 2 Dirichlet and Neumann Problems in Domains with Singularly Perturbed Boundaries. 111. Authors: Maz'ya Vladimir, Nazarov Serguei, Plamenevskij Boris. The Dirichlet Problem for the Laplace Operator in a Three-Dimensional Domain with Small Hole. 1 Domains and boundary value problems. 2 Asymptotics of the solution.

Vladimir Maz'ya, Serguei Nazarov, Boris Plamenevskij. For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors' work, and has no significant overlap with other books on the theory of elliptic boundary value problems show more.

the theory of elliptic boundary value problems for partial differential equations, pseudo-differential operators, mathematical waveguide theory with .

the theory of elliptic boundary value problems for partial differential equations, pseudo-differential operators, mathematical waveguide theory with applications to electrodynamics, hydrodynamics, elasticity theory, and electronics. Plamenevskii, Elliptic Problems in Domains with Piecewise Smooth Boundaries, . Nauka, 1991 (in Russian). Elliptic Problems in Domains with Piecewise Smooth Boundaries, Berlin; New-York: De Gruyter, 1994 (Extended version, in English).

Электронная книга "Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II: Volume 2", Vladimir Maz'ya, Serguei Nazarov, Boris Plamenevskij. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II: Volume 2" для чтения в офлайн-режиме.

For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, the second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations. At the core of this work are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years. Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics. To a large extent the work is based on the authors' work and has no significant overlap with other books on the theory of elliptic boundary value problems.