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The double layer potential method for a boundary transmission problem for the Laplace operator in an infinite wedge
Author(s) -
Mirschinka Dirk
Publication year - 1995
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670180703
Subject(s) - mathematics , mathematical analysis , wedge (geometry) , integral equation , laplace transform , operator (biology) , fourier integral operator , harmonic function , integral transform , boundary value problem , boundary (topology) , geometry , biochemistry , chemistry , repressor , transcription factor , gene
This paper is concerned with the solution of a boundary transmission problem in an infinite wedge. We treat this problem by a boundary integral method using Green's contact function for two half‐spaces. The integral operators are studied via a harmonic analysis approach which goes back to a paper of Fabes et al . We improve their results studying the Fourier symbol of the associated integral operators on the half‐plane. This leads to invertibility criteria for the boundary integral operators.