Complete scale of isomorphisms for elliptic pseudodifferential boundary-value problems

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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.

Original languageEnglish
Pages (from-to)409-422
Number of pages14
JournalJournal of the London Mathematical Society
Volume64
Issue number2
DOIs
StatePublished - 2001

ASJC Scopus subject areas

  • General Mathematics

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