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Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains / by Mikhail Borsuk.
Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Borsuk, Mikhail, author.
- Series:
- Frontiers in Mathematics, 1660-8054
- Language:
- English
- Subjects (All):
- Differential equations.
- Functional analysis.
- Differential Equations.
- Functional Analysis.
- Local Subjects:
- Differential Equations.
- Functional Analysis.
- Physical Description:
- 1 online resource (337 pages)
- Edition:
- 2nd ed. 2024.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
- Summary:
- 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.
- Contents:
- - 1. Preliminaries
- 2. Eigenvalue Problem and Integro-Differential Inequalities
- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain
- 4. Interface Problem for the Laplace Operator with N Different Media
- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain
- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain
- 7. Best Possible Estimates of Solutions to the Interface Problem for a Quasi-Linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge
- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n− Dimensional Cone
- 9. Existence of Bounded Weak Solutions.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 3-031-64091-8
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