Boundary Value Problems for Elliptic Systems
£51.99
- Authors:
- J. T. Wloka, Christian-Albrechts Universität zu Kiel, Germany
- B. Rowley, Champlain College, Lennoxville
- B. Lawruk, McGill University, Montréal
- Date Published: April 2008
- availability: Available
- format: Paperback
- isbn: 9780521061438
£
51.99
Paperback
Other available formats:
Hardback, eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
This book examines the theory of boundary value problems for elliptic systems of partial differential equations, a theory which has many applications in mathematics and the physical sciences. The aim is to 'algebraize' the index theory by means of pseudo-differential operators and methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. This book is ideal for use in graduate-level courses on partial differential equations, elliptic systems, pseudo-differential operators and matrix analysis. Since many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises.
Read more- Includes more than one hundred and fifty exercises
- Introduces many new methods and results
Reviews & endorsements
'It is the strength of this book that, for the first time, the theory of (elliptic) systems is presented on the level of recent research theory of (scalar) pseudodifferential operators … the authors put new life into the classical method of shifting boundary value problems in a domain to its boundary.' Hans Triebel, Bulletin of the London Mathematical Society
See more reviews'The book can be recommended both as a textbook for graduate students and as a handbook for researchers.' T. Weidl, Proceedings of the Edinburgh Mathematical Society
'… certainly of great interest for specialists and can be used for advanced lectures or seminars in this field.' Monatshefte für Mathematik
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: April 2008
- format: Paperback
- isbn: 9780521061438
- length: 656 pages
- dimensions: 245 x 175 x 35 mm
- weight: 0.91kg
- contains: 8 b/w illus. 173 exercises
- availability: Available
Table of Contents
Part I. A Spectral Theory of Matrix Polynormials:
1. Matrix polynomials
2. Spectral triples for matrix polynomials
3. Monic matrix polynomials
4. Further results
Part II. Manifolds and Vector Bundles:
5. Manifolds and vector bundles
6. Differential forms
Part III. Pseudo-Differential Operators and Elliptic Boundary Value Problems:
7. Pseudo-differential operators on Rn
8. Pseudo-differential operators on a compact manifold
9. Elliptic systems on bounded domains in Rn
Part IV. Reduction Of A Boundary Value Problem To An Elliptic System On The Boundary:
10. Understanding the L-condition
11. Applications to the index
12. BVPs for ordinary differential operators and the connection with spectral triples
13. Behaviour of a pseudo-differential operator near a boundary
14. The Main Theorem revisited
Part V. An Index Formula For Elliptic Boundary Problems In The Plane:
15. Further results on the Lopatinskii Condition
16. The index in the plane
17. Elliptic systems with 2 x 2 real coefficients.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×