Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains

Author:   Vitaly Volpert
Publisher:   Springer Basel
Edition:   2011 ed.
Volume:   101
ISBN:  

9783034803229


Pages:   639
Publication Date:   21 April 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains


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Author:   Vitaly Volpert
Publisher:   Springer Basel
Imprint:   Springer Basel
Edition:   2011 ed.
Volume:   101
Dimensions:   Width: 15.50cm , Height: 3.60cm , Length: 23.50cm
Weight:   0.997kg
ISBN:  

9783034803229


ISBN 10:   3034803222
Pages:   639
Publication Date:   21 April 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

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)


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)


From the reviews: 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)


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)


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