It takes the average reader 3 hours and 17 minutes to read On Spectral Theory of Elliptic Operators by Youri Egorov
Assuming a reading speed of 250 words per minute. Learn more
It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many books and articles have been published on this topic, considering spectral properties of elliptic differential operators from different points of view. This is one more book on these properties. This book is devoted to the study of some classical problems of the spectral theory of elliptic differential equations. The reader will find hardly any intersections with the books of Shubin [Sh] or Rempel-Schulze [ReSch] or with the works cited there. This book also has no general information in common with the books by Egorov and Shubin [EgShu], which also deal with spectral properties of elliptic operators. There is nothing here on oblique derivative problems; the reader will meet no pseudodifferential operators. The main subject of the book is the estimates of eigenvalues, especially of the first one, and of eigenfunctions of elliptic operators. The considered problems have in common the approach consisting of the application of the variational principle and some a priori estimates, usually in Sobolev spaces. In many cases, impor tant for physics and mechanics, as well as for geometry and analysis, this rather elementary approach allows one to obtain sharp results.
On Spectral Theory of Elliptic Operators by Youri Egorov is 194 pages long, and a total of 49,276 words.
This makes it 65% the length of the average book. It also has 60% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 29 minutes to read On Spectral Theory of Elliptic Operators aloud.
On Spectral Theory of Elliptic Operators is suitable for students ages 10 and up.
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