The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments
.The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.
| ISBN: | 9783034605366 |
| Publication date: | 6th March 2011 |
| Author: | Vitaly A Volpert |
| Publisher: | Birkhauser an imprint of Springer Basel |
| Format: | Hardback |
| Pagination: | 639 pages |
| Series: | Monographs in Mathematics |
| Genres: |
Differential calculus and equations |
The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments
.The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.
Elliptic Partial Differential Equations. Volume 1 Fredholm Theory of Elliptic Problems in Unbounded Domains features in the following genres: Differential calculus and equations
Elliptic Partial Differential Equations. Volume 1 Fredholm Theory of Elliptic Problems in Unbounded Domains is available in Hardback
Elliptic Partial Differential Equations. Volume 1 Fredholm Theory of Elliptic Problems in Unbounded Domains was written by Vitaly A Volpert and published by Birkhauser an imprint of Springer Basel
Elliptic Partial Differential Equations. Volume 1 Fredholm Theory of Elliptic Problems in Unbounded Domains has 639 pages
Yes it is part of Monographs in Mathematics series