Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
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Beschreibung
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.
Explores the interface problems several cases, as the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone Revises and includes new material not studied in the book's first edition Constitutes a compact but rich compilation of new material in the additional chapters
Autor*in
Mikhail Borsuk
Themen in »Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains«
Boundary Value Problem Interface Problems p - and p(x) - Laplace Operator Elliptic Equations Linear and Quasi-linear Equations Non-Smooth Domains with Angular and Conic points or Edges Partial Differential Equations