Elliptic Boundary Value Problems in the Spaces of Distributions
Language: English
Published by Springer, Springer Okt 2012, 2012
- Softcover
- New
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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 # 9789401062763
- Title
- Elliptic Boundary Value Problems in the Spaces of Distributions
- Author
- Y. Roitberg
- Publisher
- Springer, Springer Okt 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 9401062765
- ISBN 13
- 9789401062763
- Item weight
- 692 grams
- Dimensions
- 240x160x24 mm
It deals with the theory of solvability in generalised functions of general boundary-value problems for elliptic equations. In the early sixties, Lions and Magenes, and Berezansky, Krein and Roitberg established the theorems on complete collection of isomorphisms. Further progress of the theory was connected with proving the theorem on complete collection of isomorphisms for new classes of problems, and hence with the development of new methods to prove these theorems. The theorems on isomorphisms were first established for elliptic equations with normal boundary conditions. However, after the Noetherian property of elliptic problems was proved without assuming the normality of the boundary expressions, this became the natural way to consider the problems of establishing the theorems on isomorphisms for general elliptic problems. The present author's method of solving this problem enabled proof of the theorem on complete collection of isomorphisms for the operators generated by elliptic boundary-value problems for general systems of equations.
Audience: This monograph will be of interest to mathematicians whose work involves partial differential equations, functional analysis, operator theory and the mathematics of mechanics.
"Synopsis" may belong to another edition of this title.
Review
SIAM Review, 40:1 (1998)
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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