Elliptic Boundary Value Problems in the Spaces of Distributions
Language: English
Published by Springer Netherlands, 2012
- Softcover
- New
Condition: New
£ 80.65
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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 # 5832902
- Title
- Elliptic Boundary Value Problems in the Spaces of Distributions
- Author
- Y. Roitberg
- Publisher
- Springer Netherlands
- Publication year
- 2012
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 9401062765
- ISBN 13
- 9789401062763
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.
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