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Boundary Value Problems in the Spaces of Distributions 1999 Edition
Contributor(s): Roitberg, Y. (Author)
ISBN: 9048153433     ISBN-13: 9789048153435
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Paperback - Other Formats
Published: December 2010
Qty:
Additional Information
BISAC Categories:
- Mathematics | Differential Equations - General
- Mathematics | Functional Analysis
- Mathematics | Mathematical Analysis
Dewey: 515.35
Series: Mathematics and Its Applications
Physical Information: 0.62" H x 6.14" W x 9.21" (0.93 lbs) 286 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
The present monograph is devoted to the theory of the solvability in generalized functions of general boundary value problems of mathematieal physies. It is the eontinuation of the author's book Rl], where elliptic boundary value problems have been studied in eomplete seales of spaees of generalized funetions. From the early sixties, in the works of Lions and Magenes LiM] and Yu. Berezanskii, S. Krein and Va. Roitberg BKR] the theorems on eomplete eolleetion of isomorphisms have been established. These theorems, roughly speaking, mean that the operator generated by an elliptie boundary value problem establishes an isomorphism between spaees of functions which 'have s derivatives' and spaees functions whieh 'have s - r derivatives' (here s is an arbitrary real number, r is the order of the elliptic problem). The dose results were also obtained by Seheehter Sehe]. These results and some of their applieations are eontained in the book of Lions and Magenes LiM2] (see also the survey of Magenes MagD and Yu. Berezanskii Ber]. Further progress in the theory under eonsideration was eonneeted, first, with the completion of the dass of elliptie problems for whieh the theorems on eomplete eolleetion of isomorphisms hold, and, henee, with the development of new methods of proving of these theorems, and, second, with the inerease of a number of applieations of the isomorphism theorems. In the author's monograph RI] the last years' investigations on the isomorphism theorems and some of their applieations have been presented.