The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R + and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.
- ISBN10 0444881379
- ISBN13 9780444881373
- Publish Date 17 October 1991 (first published 1 January 1991)
- Publish Status Out of Print
- Out of Print 10 August 2001
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint Elsevier Science Ltd
- Format Hardcover
- Pages 414
- Language English