Boundary Value Problems in the Spaces of Distributions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1999
|
| Schriftenreihe: | Mathematics and Its Applications
498 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 286 p) |
| ISBN: | 9789401592758 9789048153435 |
| DOI: | 10.1007/978-94-015-9275-8 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-9275-8 |
| format | Electronic eBook |
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| isbn | 9789401592758 9789048153435 |
| language | English |
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| spelling | Roitberg, Yakov Verfasser aut Boundary Value Problems in the Spaces of Distributions by Yakov Roitberg Dordrecht Springer Netherlands 1999 1 Online-Ressource (X, 286 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 498 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 Mathematics Functional analysis Operator theory Differential equations, partial Mechanics Partial Differential Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Distributionenraum (DE-588)4289272-7 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Distributionenraum (DE-588)4289272-7 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 https://doi.org/10.1007/978-94-015-9275-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Roitberg, Yakov Boundary Value Problems in the Spaces of Distributions Mathematics Functional analysis Operator theory Differential equations, partial Mechanics Partial Differential Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Distributionenraum (DE-588)4289272-7 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4289272-7 (DE-588)4048395-2 |
| title | Boundary Value Problems in the Spaces of Distributions |
| title_auth | Boundary Value Problems in the Spaces of Distributions |
| title_exact_search | Boundary Value Problems in the Spaces of Distributions |
| title_full | Boundary Value Problems in the Spaces of Distributions by Yakov Roitberg |
| title_fullStr | Boundary Value Problems in the Spaces of Distributions by Yakov Roitberg |
| title_full_unstemmed | Boundary Value Problems in the Spaces of Distributions by Yakov Roitberg |
| title_short | Boundary Value Problems in the Spaces of Distributions |
| title_sort | boundary value problems in the spaces of distributions |
| topic | Mathematics Functional analysis Operator theory Differential equations, partial Mechanics Partial Differential Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Distributionenraum (DE-588)4289272-7 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Differential equations, partial Mechanics Partial Differential Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Distributionenraum Randwertproblem |
| url | https://doi.org/10.1007/978-94-015-9275-8 |
| work_keys_str_mv | AT roitbergyakov boundaryvalueproblemsinthespacesofdistributions |