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COMPLETE SCALE OF ISOMORPHISMS FOR ELLIPTIC PSEUDODIFFERENTIAL BOUNDARY-VALUE PROBLEMS

Published online by Cambridge University Press:  30 October 2001

A. KOZHEVNIKOV
A. KOZHEVNIKOV
Affiliation:
Department of Mathematics, University of Haifa, Haifa 31905, Israel; [email protected]
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Abstract

The aim of the paper is to establish a complete scale of isomorphisms for elliptic pseudodifferential boundary value problems generated by the operators of the Boutet de Monvel algebra. The result is an extension of the corresponding known results on elliptic differential boundary value problems. Because for any elliptic pseudodifferential boundary value problem there exists a parametrix belonging to the Boutet de Monvel algebra, the proof presented is much shorter than the known proof for differential problems. Systems that are elliptic in the sense of Douglis and Nirenberg are also considered.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 2 , October 2001 , pp. 409 - 422
Copyright
The London Mathematical Society 2001

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