Elliptic boundary problems on manifolds with polycylindrical ends

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel's calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows.

Original languageEnglish (US)
Pages (from-to)351-386
Number of pages36
JournalJournal of Functional Analysis
Volume244
Issue number2
DOIs
StatePublished - Mar 15 2007

All Science Journal Classification (ASJC) codes

  • Analysis

Fingerprint Dive into the research topics of 'Elliptic boundary problems on manifolds with polycylindrical ends'. Together they form a unique fingerprint.

Cite this