A calculus of boundary value problems in domains with non-lipschitz singular points

Vladimir Rabinovich, Bert Wolfgang Schulze, Nikolai Tarkhanov

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The paper is devoted to pseudodifferential boundary value problems in domains with singular points on the boundary. The tangent cone at a singular point is allowed to degenerate. In particular, the boundary may rotate and oscillate in a neighbourhood of such a point. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to singular points.

Original languageEnglish
Pages (from-to)115-160
Number of pages46
JournalMathematische Nachrichten
Volume215
DOIs
StatePublished - 2000
Externally publishedYes

Keywords

  • Boundary value problems
  • Manifolds with cusps
  • Pseudodifferential operators

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