Differentiable Functions on Bad Domains by Vladimir G Maz’ya (PDF)

Description

The spaces of functions with derivatives in Lp, called the Sobolev spaces, play an important role in modern analysis. During the last decades, these spaces have been intensively studied and by now many problems associated with them have been solved. However, the theory of these function classes for domains with nonsmooth boundaries is still in an unsatisfactory state.In this book, which partially fills this gap, certain aspects of the theory of Sobolev spaces for domains with singularities are studied. We mainly focus on the so-called imbedding theorems, extension theorems and trace theorems that have numerous applications to partial differential equations. Some of such applications are given.Much attention is also paid to counter examples showing, in particular, the difference between Sobolev spaces of the first and higher orders. A considerable part of the monograph is devoted to Sobolev classes for parameter dependent domains and domains with cusps, which are the simplest non-Lipschitz domains frequently used in applications.This book will be interesting not only to specialists in analysis but also to postgraduate students.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Keywords

Free Download Differentiable Functions on Bad Domains in PDF format
Differentiable Functions on Bad Domains PDF Free Download
Download Differentiable Functions on Bad Domains 1998 PDF Free
Differentiable Functions on Bad Domains 1998 PDF Free Download
Download Differentiable Functions on Bad Domains PDF
Free Download Ebook Differentiable Functions on Bad Domains