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Elliptic Boundary Value Problems in the Spaces of Distributions - Couverture souple

Roitberg, Y.

 
9789401062763: Elliptic Boundary Value Problems in the Spaces of Distributions
Couverture souple
ISBN 10 : 9401062765 ISBN 13 : 9789401062763
Editeur : Springer, 2012

Synopsis

This volume endeavours to summarise all available data on the theorems on isomorphisms and their ever increasing number of possible applications.
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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This volume endeavours to summarise all available data on the theorems on isomorphisms and their ever increasing number of possible applications.
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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
9401062765
ISBN 13 
9789401062763
Reliure
Broché
Nombre de pages
436
Coordonnées du fabricant
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Autres éditions populaires du même titre

9780792343035: Elliptic Boundary Value Problems in the Spaces of Distributions

Edition présentée

ISBN 10 :  0792343034 ISBN 13 :  9780792343035
Editeur : Kluwer Academic Publishers, 1996
Couverture rigide