Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

Second Edition 2024

by Mikhail Borsuk

Book Details

Format Paperback / Softback

Book Series Frontiers in Mathematics

ISBN-10 303164090X

ISBN-13 9783031640902

Edition Second Edition 2024

Publisher Birkhauser Verlag AG

Imprint Birkhauser Verlag AG

Country of Manufacture GB

Country of Publication GB

Publication Date Oct 27th, 2024

Print length 334 Pages

Weight 598 grams

Dimensions 16.80 x 24.00 x 3.00 cms

Product Classification: Functional analysis & transforms Differential calculus & equations

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The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions. Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions.

Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.

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