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Elliptic Boundary Value Problems in the Spaces of Distributions (Mathematics and Its Applications, 384) - Hardcover
Synopsis
(2) Green's functions were constructed and studied for general elliptic boundary-va lue problems ([BeRI]-[Ber3], [Kovl], and [Kov2]). (3) Generalized eigenfunctions, spectral function, etc., were investigated in spectral theory [Ber]. (4) Elliptic boundary-value problems with arbitrary power singularities on the right hand sides were investigated ([Roi6], [Kos2,] and [Ser)). (5) A family of elliptic problems was studied in a family of expanding domains; the obtained results were applied to the investigation of elliptic problems with time deriva tives in the boundary conditions and parabolic problems in noncylindrical domains ([Kre3], [KLa], and [IKK)). (6) Strongly degenerate elliptic problems were studied in [RShI5]-[RShI8]. (7) Application to the investigation of traces of generalized solutions of equations on the boundary of the domain ([Roi8], [Roi4], [Roil5], and [RoiI7D. (8) Application to problems of transmission ([Roi3], [Roi4], [RSh6], and [RShlOD. (9) Applications to the investigation of nonlocal elliptic problems ([RSh7]-[RSh9], [RShll], and [RShI2)). (10) Application to problems of optimal control ([Li05], [RSh13], and [RShI4D. (11) Application to the theory of underdetermined and overdetermined problems ([Klvl]-[KLv3D. (12) Application to nonlinear problems ([Lio6] and [KrSD. (13) Application to the problems of mechanical motion of non-Newton liquids [Lit]. These and many other examples demonstrate that the efforts of the reader who wants to become an expert in the theory developed in the book will give fruitful results very quickly.
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Language Notes
Text: English (translation)
Original Language: Russian
Review
`The book is well written and deals well with a topic which requires great care and attention to detail. It is an excellent digest of known results for this problem and a valuable reference for those who wish to apply known results for problem (1) to various other disciplines.'
SIAM Review, 40:1 (1998)
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Elliptic Boundary Value Problems in the Spaces of Distributions (Mathematics and Its Applications, 384, Band 384)
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 0. Introduction. 1. Functional Spaces. 2. Space Hs,p,(r)(Omega) 3. Elliptic Boundary-Value Problem. 4. Theorem on Complete Collection of Isomorphisms. 5. Elliptic Problems with Normal Boundary Conditions. 6. Traces of Generalized Solutions of E. Seller Inventory # 5967940
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Elliptic Boundary Value Problems in the Spaces of Distributions (Mathematics and Its Applications, 384)
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Elliptic Boundary Value Problems in the Spaces of Distributions
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Kluwer Academic Publishers, 1996
ISBN 10: 0792343034
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Condition: New. Endeavours to summarise various data on the theorems on isomorphisms and their increasing number of possible applications. This title deals with the theory of solvability in generalised functions of general boundary-value problems for elliptic equations. Series: Mathematics and its Applications. Num Pages: 420 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 23. Weight in Grams: 1730. . 1996. Hardback. . . . . Seller Inventory # V9780792343035
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Elliptic Boundary Value Problems in the Spaces of Distributions
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 0. Introduction.- 1. Functional Spaces.- 2. Space $$tilde H^{s,p(r)} left( Omega right)$$.- 3. Elliptic Boundary-Value Problem.- 4. Theorem on Complete Collection of Isomorphisms.- 5. Elliptic Problems with Normal Boundary Conditions.- 6. Traces of Generalized Solutions of Elliptic Equations on the Boundary of the Domain.- 7. Local Increase in the Smoothness of Generalized Solutions of Elliptic Boundary-Value Problems. Green's Functions.- 8. Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems.- 9. Elliptic Boundary-Value Problems with a Parameter.- 10. Elliptic Boundary-Value Problems for Systems of Equations.- Bibliographical Notes.- References.- Notation. Seller Inventory # 9780792343035
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Elliptic Boundary Value Problems in the Spaces of Distributions
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -0. Introduction.- 1. Functional Spaces.- 2. Space $$ilde H^{s,p(r)} left( Omegaight)$$.- 3. Elliptic Boundary-Value Problem.- 4. Theorem on Complete Collection of Isomorphisms.- 5. Elliptic Problems with Normal Boundary Conditions.- 6. Traces of Generalized Solutions of Elliptic Equations on the Boundary of the Domain.- 7. Local Increase in the Smoothness of Generalized Solutions of Elliptic Boundary-Value Problems. Green's Functions.- 8. Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems.- 9. Elliptic Boundary-Value Problems with a Parameter.- 10. Elliptic Boundary-Value Problems for Systems of Equations.- Bibliographical Notes.- References.- Notation.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 436 pp. Englisch. Seller Inventory # 9780792343035
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Elliptic Boundary Value Problems in the Spaces of Distributions
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -(2) Green's functions were constructed and studied for general elliptic boundary-va lue problems ([BeRI]-[Ber3], [Kovl], and [Kov2]). (3) Generalized eigenfunctions, spectral function, etc., were investigated in spectral theory [Ber]. (4) Elliptic boundary-value problems with arbitrary power singularities on the right hand sides were investigated ([Roi6], [Kos2,] and [Ser)). (5) A family of elliptic problems was studied in a family of expanding domains; the obtained results were applied to the investigation of elliptic problems with time deriva tives in the boundary conditions and parabolic problems in noncylindrical domains ([Kre3], [KLa], and [IKK)). (6) Strongly degenerate elliptic problems were studied in [RShI5]-[RShI8]. (7) Application to the investigation of traces of generalized solutions of equations on the boundary of the domain ([Roi8], [Roi4], [Roil5], and [RoiI7D. (8) Application to problems of transmission ([Roi3], [Roi4], [RSh6], and [RShlOD. (9) Applications to the investigation of nonlocal elliptic problems ([RSh7]-[RSh9], [RShll], and [RShI2)). (10) Application to problems of optimal control ([Li05], [RSh13], and [RShI4D. (11) Application to the theory of underdetermined and overdetermined problems ([Klvl]-[KLv3D. (12) Application to nonlinear problems ([Lio6] and [KrSD. (13) Application to the problems of mechanical motion of non-Newton liquids [Lit]. These and many other examples demonstrate that the efforts of the reader who wants to become an expert in the theory developed in the book will give fruitful results very quickly. 436 pp. Englisch. Seller Inventory # 9780792343035
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Elliptic Boundary Value Problems in the Spaces of Distributions
Published by
Kluwer Academic Publishers, 1996
ISBN 10: 0792343034
ISBN 13: 9780792343035
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Seller: Kennys Bookstore, Olney, MD, U.S.A.
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Condition: New. Endeavours to summarise various data on the theorems on isomorphisms and their increasing number of possible applications. This title deals with the theory of solvability in generalised functions of general boundary-value problems for elliptic equations. Series: Mathematics and its Applications. Num Pages: 420 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 23. Weight in Grams: 1730. . 1996. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780792343035