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

• Verfasst von: Borsuk, Mikhail [VerfasserIn]
• Titel: Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
• Verf.angabe: by Mikhail Borsuk
• Ausgabe: 2nd ed. 2024.
• Verlagsort: Cham
• Verlagsort: Cham
• Verlag: Springer Nature Switzerland
• Verlag: Imprint: Birkhäuser
• E-Jahr: 2024
• Jahr: 2024.
• Jahr: 2024.
• Umfang: 1 Online-Ressource(XIV, 334 p. 14 illus., 9 illus. in color.)
• Gesamttitel/Reihe: Frontiers in Mathematics
• ISBN: 978-3-031-64091-9
• DOI: doi:10.1007/978-3-031-64091-9
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Borsuk, Mikhail: Interface problems for elliptic second-order equations in non-smooth domains. - Second edition. - Cham : Birkhäuser, 2024. - xiv, 334 Seiten
• K10plus-PPN: 1907094385
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

- 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.

Abstract

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.