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L 2 ‐boundary integral equations for the robin problem
Author(s) -
Angell T. S.,
Kress R.,
Roach G. F.
Publication year - 1984
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.1670060121
Subject(s) - mathematics , helmholtz equation , integral equation , mathematical analysis , robin boundary condition , boundary (topology) , wave equation , summation equation , green's theorem , boundary value problem , free boundary problem , fixed point theorem , fundamental theorem of calculus , picard–lindelöf theorem
In this paper we study an integral equation method for the exterior Robin problem for the Helmholtz equation where the boundary condition is interpreted in the L 2 ‐sense. In particular, we derive a composite integral equation from Green's theorem which is uniquely solvable for all wave numbers.