Items related to Elliptic Partial Differential Equations: Volume 1:...
Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains - Softcover
Synopsis
Chapter 1. Introduction.- Chapter 2. Function spaces and operators.- Chapter 3. A priori estimates.- Chapter 4. Normal solvability.- Chapter 5. Fredholm property.- Chapter 6. Formally adjoint problems.- Chapter 7. Elliptic problems with a parameter.- Chapter 8. Index of elliptic operators.- Chapter 9. Problems in cylinders.- Chapter 10. Non-Fredholm operators.- Chapter 11. Nonlinear Fredholm operators.- Supplement. Discrete operators.-Historical and bibliographical comments.- Acknowledgements.- References.
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Review
From the reviews:
“In the book under review the author concentrates on the Fredholm theory for (mainly linear) boundary value problems in unbounded domains. ... Both for a researcher in the field and for a mathematical research library, this is a must-have item.” (Niels Jacob, The Mathematical Gazette, Vol. 98 (541), March, 2014)
“This very interesting book presents a systematic study of elliptic problems in unbounded domains of Rn. ... At the end of the book ... the author gives a comprehensive account of the large development of the elliptic theory from its birth in the XVIIIth century up to the present time. ... This historical account gives to the reader the full perspective on each topic as well as a complete and up-to-date bibliography. This is certainly an excellent starting point for any kind of further investigation.” (Paolo Acquistapace, Mathematical Reviews, Issue 2012 g)
“The book is devoted to substantial and systematic presentation of the linear and nonlinear theory of elliptic partial differential equations in unbounded domains. ... The presentation of the results is mostly self-contained. Thus, the book can be recommended either for experts in the subject or for beginners.” (Sergei V. Rogosin, Zentralblatt MATH, Vol. 1222, 2011)
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2011
- ISBN 10 3034605382
- ISBN 13 9783034605380
- BindingPaperback
- LanguageEnglish
- Number of pages660
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