Authors:Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert
Publisher: Birkhäuser Basel
Keywords: advances, partial, differential, equations, theory, applications, operator, parabolicity, calculus, conical, singularities, volume, volterra
Number of Pages: 358
Published: 2003-01-17
List price: $151.00
ISBN-10: 376436906X
ISBN-13: 9783764369064

This volume highlights the analysis on noncompact and singular manifolds within the framework of the cone calculus with asymptotics. The three papers at the beginning deal with parabolic equations, a topic relevant for many applications. The first article presents a calculus for pseudodifferential operators with an anisotropic analytic parameter. The subsequent paper develops an algebra of Mellin operators on the infinite space-time cylinder. It is shown how timelike infinity can be treated as a conical singularity. In the third text - the central article of this volume - the authors use th