It takes the average reader 8 hours and 36 minutes to read Differentiable Functions on Bad Domains by V. G. Maz?i?a
Assuming a reading speed of 250 words per minute. Learn more
The spaces of functions with derivatives in p, 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.
Differentiable Functions on Bad Domains by V. G. Maz?i?a is 512 pages long, and a total of 129,024 words.
This makes it 173% the length of the average book. It also has 158% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 11 hours and 45 minutes to read Differentiable Functions on Bad Domains aloud.
Differentiable Functions on Bad Domains is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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