J. T. Wloka, B. Rowley, B. Lawruk

Boundary Value Problems for Elliptic Systems

• Broschiertes Buch

Produktbeschreibung

This book examines the theory of boundary value problems for elliptic systems of partial differential equations.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 656
• Erscheinungstermin: 29. Januar 2008
• Englisch
• Abmessung: 234mm x 156mm x 36mm
• Gewicht: 980g
• ISBN-13: 9780521061438
• ISBN-10: 0521061431
• Artikelnr.: 23581439

Inhaltsangabe

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.