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Mellin and Green symbols for boundary value problems on manifolds with edges

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Elmar Schrohe
  • B. W. Schulze

External Research Organisations

  • University of Potsdam

Details

Original languageEnglish
Pages (from-to)339-363
Number of pages25
JournalIntegral Equations and Operator Theory
Volume34
Issue number3
Publication statusPublished - Sept 1999
Externally publishedYes

Abstract

We introduce the algebra of smoothing Mellin and Green symbols in a pseudodifferential calculus for manifolds with edges. In addition, we define scales of weighted Sobolev spaces with asymptotics based on the Mellin transform and analyze the mapping properties of the operators on these spaces. This will allow us to obtain complete information on the regularity and asymptotics of solutions to elliptic equations on these spaces.

ASJC Scopus subject areas

Cite this

Mellin and Green symbols for boundary value problems on manifolds with edges. / Schrohe, Elmar; Schulze, B. W.
In: Integral Equations and Operator Theory, Vol. 34, No. 3, 09.1999, p. 339-363.

Research output: Contribution to journalArticleResearchpeer review

Schrohe, Elmar ; Schulze, B. W. / Mellin and Green symbols for boundary value problems on manifolds with edges. In: Integral Equations and Operator Theory. 1999 ; Vol. 34, No. 3. pp. 339-363.
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