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

• Κύριος συγγραφέας: Borsuk, Mikhail (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2010.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Partial differential equations.; Partial Differential Equations.

The goal of this book is to investigate the behavior of weak solutions of the elliptic transmission problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is discussed for both linear and quasilinear equations. A principal new feature of this book is the...

Πίνακας περιεχομένων:

• Preliminaries
• Eigenvalue problem and integro-differential inequalities
• Best possible estimates of solutions to the transmission problem for linear elliptic divergence second-order equations in a conical domain
• Transmission problem for the Laplace operator with N different media
• Transmission problem for weak quasi-linear elliptic equations in a conical domain
• Transmission problem for strong quasi-linear elliptic equations in a conical domain
• Best possible estimates of solutions to the transmission problem for a quasi-linear elliptic divergence second-order equation in a domain with a boundary edge.