DOI: 10.1112/S0024610701002514 COMPLETE SCALE OF ISOMORPHISMS FOR ELLIPTIC PSEUDODIFFERENTIAL BOUNDARY-VALUE PROBLEMS

The aim of the paper is to establish a complete scale of isomorphisms for elliptic pseudodierential 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 dierential boundary value problems. Because for any elliptic pseudodierential 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 dierential problems. Systems that are elliptic in the sense of Douglis and Nirenberg are also considered. 1