Differential Equations on Singular Manifolds: Semiclassical Theory and Operator Algebras...
by Bert-Wolfgang Schulze, B. Iu Sternin, and V. E. Shatalov
Sales Rank: 4627115
$35.00At Amazon on 12-6-2008
Hardcover: 376 pages
Publisher: John Wiley & Sons; 1st edition January 1999
Language: English
ISBN-10: 3527400869
ISBN-13: 978-3527400867
Product Dimensions:
9.8 x 7 x 1 inches
Shipping Weight: 2 pounds
Product Review
"much useful information" -- Bulletin of the Belgium Mathematical Society
Product Description
In the book, new methods in the theory of differential equations on manifolds with singularities are presented. The semiclassical theory in quantum mechanics is employed, adapted to operators that are degenerate in a typical way. The degeneracies may be induced by singular geometries, e.g., conical or cuspidal ones. A large variety of non-standard degenerate operators are also discussed. The semiclassical approach yields new results and unexpected effects, also in classical situations. For instance, full asymptotic expansions for cuspidal singularities are constructed, and nonstationary problems on singular manifolds are treated. Moreover, finiteness theorems are obtained by using operator algebra methods in a unified framework. Finally the method of characteristics for general elliptic equations on manifolds with singularities is developed in the book.
Differential Equations on Singular Manifolds: Semiclassical Theory and Operator Algebras...
Available from Amazon Price: $35.00 Updated on 12-6-2008
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