Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains

• Κύριος συγγραφέας: Agranovich, Mikhail S. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Functional analysis.; Integral equations.; Operator theory.; Partial differential equations.; Potential theory (Mathematics).; Mathematical physics.; Partial Differential Equations.; Functional Analysis.; Operator Theory.; Potential Theory.; Integral Equations.; Mathematical Physics.

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for...

Πίνακας περιεχομένων:

• Preface
• Preliminaries
• 1 The Spaces Hs.
• 2 Elliptic Equations and Elliptic Boundary Value Problems
• 3 The Spaces Hs and Second-Order Strongly Elliptic Systems in Lipschitz Domains
• 4 More General Spaces and Their Applications
• References
• Index.