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Transmission problems for elliptic second-order equations in non-smooth domains

Author: Mikhail Borsuk
Publisher: Basel : Birkhäuser, ©2010.
Series: Frontiers in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The goal of this book is to investigate the behavior of weak solutions of the elliptic transmission problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is discussed for both linear and quasilinear equations. A principal new feature of this book is the consideration of our estimates of weak solutions of the transmission problem for linear elliptic equations with
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Document Type: Book
All Authors / Contributors: Mikhail Borsuk
ISBN: 9783034604765 3034604769 3034604777 9783034604772
OCLC Number: 495781270
Description: ix, 218 pages : illustrations ; 24 cm.
Contents: Preface.- Introduction.- 1 Preliminaries.- 2 Eigenvalue problem and integro-differential inequalities.- 3 Best possible estimates of solutions to the transmission problem for linear elliptic divergence second order equations in a conical domain.- 4 Transmission problem for the Laplace operator with N different media.- 5 Transmission problem for weak quasi-linear elliptic equations in a conical domain.- 6 Transmission problem for strong quasi-linear elliptic equations in a conical domain.- 7 Best possible estimates of solutions to the transmission problem for a quasi-linear elliptic divergence second order equation in a domain with a boundary edge.- Bibliography.- Index.- Notation Index.
Series Title: Frontiers in mathematics.
Responsibility: Mikhail Borsuk.

Abstract:

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  Read more...

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