Umfang:
Online-Ressource
,
v.: digital
Ausgabe:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
ISBN:
1282982702
,
9783034604772
,
9781282982703
Serie:
Frontiers in Mathematics
Inhalt:
This book investigates the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges, considering this problem both for linear and quasi-linear equations.
Inhalt:
The goal of this book is to investigate the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges. We consider this problem both for linear and quasi-linear (till now very little studied) equations. Chapter 1 is of auxiliary character. Chapter 2 deals with the eigenvalue problem for the m-Laplace-Beltrami operator. By the variational principle we prove a new integro-differential Friedrichs-Wirtinger type inequality. This inequality is a basis for the obtaining of precise exponents of the decreasing rate of the solution near boundary singularities. Chapter 3 deals with the investigation of the transmission problem for linear elliptic second order equations in the domains with boundary conic point. Chapter 4 is devoted to the transmission problem in conic domains with N different media for an equation with the Laplace operator in the principal part. Chapters 5, 6 and 7 deal with the investigation of the transmission problem for quasi-linear elliptic second order equations in the domains with boundary conic point or with an edge at the boundary of a domain.
Anmerkung:
Includes bibliographical references and index
,
Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains; Contents; Preface; Introduction; Chapter 1 Preliminaries; Chapter 2 Eigenvalue problem and integro-differential inequalities; Chapter 3 Best possible estimates of solutions to the transmission problem for linear elliptic divergence second-order equations in a conical domain; Chapter 4 Transmission problem for the Laplace operator with N different media; Chapter 5 Transmission problem for weak quasi-linear elliptic equations in a conical domain
,
Chapter 6 Transmission problem for strong quasi-linear elliptic equations in a conical domainChapter 7 Best possible estimates of solutions to the transmission problem for aquasi-linear elliptic divergence second-order equation in a domain with a boundary edge; Bibliography; Index; Notation Index
,
Electronic reproduction; Available via World Wide Web
Weitere Ausg.:
ISBN 1282982397
Weitere Ausg.:
ISBN 9783034604765
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Borsuk, Mikhail Transmission problems for elliptic second-order equations in non-smooth domains Basel : Birkhäuser, 2010 ISBN 9783034604765
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Elliptische Differentialgleichung
DOI:
10.1007/978-3-0346-0477-2
URL:
Volltext
(lizenzpflichtig)
