Elliptic problems in domains with piecewise smooth boundaries / by Sergey A. Nazarov, Boris A. Plamenevsky.

Format:

Book

Author/Creator:

Nazarov, S. A.

Contributor:

Plamenevskiĭ, B. A.

Series:

De Gruyter Expositions in Mathematics

De Gruyter expositions in mathematics ; 13

De Gruyter Expositions in Mathematics , 0938-6572 ; 13

Language:

English

Subjects (All):

Differential equations, Elliptic.

Boundary value problems.

Physical Description:

1 online resource (532 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : W. de Gruyter, 1994.

Language Note:

English

Summary:

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair , Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann , Columbia University, New York, USA Markus J. Pflaum , University of Colorado, Boulder, USA Dierk Schleicher , Jacobs University, Bremen, Germany Katrin Wendland , University of Freiburg, Germany Honorary Editor Victor P. Maslov , Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups , Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Contents:

Frontmatter

Introduction

Chapter 1 Elliptic boundary value problems in domains with smooth boundary

Chapter 2 Dirichlet and Neumann problems for the Laplace operator in plane domains with corner points at the boundary

Chapter 3 General elliptic boundary value problems in a cylinder and in a cone

Chapter 4 General elliptic problems in domains with conical points

Chapter 5 Self-adjoint problems in domains with outlets to infinity

Chapter 6 Self-adjoint problems in domains with conical points. Applications

Chapter 7 Applications to crack theory

Chapter 8 Elliptic problems in domains with smooth edges

Chapter 9 Elliptic problems on manifolds with intersecting edges

Chapter 10 Asymptotics of solutions of the Dirichlet problem for the Laplace operator in a three-dimensional domain having edges on the boundary

Chapter 11 The asymptotics of solutions of general problems near edges

Chapter 12 Self-adjoint problems with radiation conditions on the edges

Bibliographical notes

References

Index

List of spaces

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [517]-522) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110848915

3110848910

OCLC:

922945209