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Construction of Corner Singularities for Agmon‐Douglis‐Nirenberg Elliptic Systems
Author(s) -
Costabel Martin,
Dauge Monique
Publication year - 1993
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/mana.19931620117
Subject(s) - mathematics , gravitational singularity , cauchy distribution , mathematical analysis , computation , nirenberg and matthaei experiment , singular integral , pure mathematics , singularity , integral equation , algorithm
Corner singularities in plane domains are characterized by certain singular exponents and angular functions. Our construction of singularities is based on two Cauchy integrals at two different levels of symbolic calculus. This construction yields new information about the angular functions and also more explicit formulas for the computation of the singular exponents.