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Boundary Value Problems for Elliptic Systems
Contributor(s): Wloka, Joseph (Author), Rowley, B. (Author), Lawruk, B. (Author)
ISBN: 0521430119     ISBN-13: 9780521430111
Publisher: Cambridge University Press
OUR PRICE:   $209.00  
Product Type: Hardcover - Other Formats
Published: July 1995
Qty:
Annotation: 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 simplify and to algebraize the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the reader to work efficiently with the principal symbols of the elliptic and boundary operators. It also leads to important simplifications and unifications in the proofs of basic theorems such as the reformulation of the Lopatinskii condition in various equivalent forms, homotopy lifting theorems, the reduction of a system with boundary conditions to a system on the boundary, and the index formula for systems in the plane. This book is suitable for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis. All the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises.
Additional Information
BISAC Categories:
- Mathematics | Differential Equations - Partial
- Mathematics | Applied
Dewey: 515.353
LCCN: 94034827
Physical Information: 1.38" H x 6.14" W x 9.21" (2.40 lbs) 656 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to algebraize the index theory by means of pseudo-differential operators and new 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. Because 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. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.