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A Calculus of Boundary Value Problems in Domains with Non–Lipschitz Singula Points
Author(s) -
Rabinovich Vladimir,
Schulze BertWolfgang,
Tarkhanov Nikolai
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200007)215:1<115::aid-mana115>3.0.co;2-e
Subject(s) - mathematics , boundary value problem , tangent , mathematical analysis , lipschitz continuity , cone (formal languages) , boundary (topology) , singular point of a curve , neighbourhood (mathematics) , degenerate energy levels , tangent cone , calculus (dental) , geometry , medicine , physics , dentistry , quantum mechanics , algorithm
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.