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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
• Author: Mikhail Borsuk
• Language: English
• Binding: Paperback
• Number of pages: 220
• EAN: 9783034604765
• ISBN: 3034604769
• ID: 01438691
• Publisher: Birkhauser Verlag AG
• Weight: 396 g
• Dimensions: 239 × 168 × 16 mm
• Date of publishing: 20. August 2010

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