Open AccessThe Neumann Problem for the 2-D Helmholtz Equation in a Multiply Connected Domain with Cuts
Author(s) -
П. А. Крутицкий
Publication year - 1997
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/766
Subject(s) - helmholtz equation , domain (mathematical analysis) , neumann boundary condition , mathematical analysis , mathematics , pure mathematics , boundary value problem
The Neumann problem for the dissipative Helmholtz equation in a connected plane region with cuts is studied. The existence of classical solution is proved by potential theory. The problem is reduced to a Fredholm equation of the second kind, which is uniquely solvable. It means that the solution can be computed by standard codes.
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