The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (867 KB) | Metadata | Table of Contents | ZAA summary
Volume 16, Issue 2, 1997, pp. 349–361
DOI: 10.4171/ZAA/766

Published online: 1997-06-30

The Neumann Problem for the 2-D Helmholtz Equation in a Multiply Connected Domain with Cuts

P.A. Krutitskii[1]

(1) Moscow State University, Russian Federation

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.

Keywords: Helmholtz equation, boundary value problems, cracks, screens, wings

Krutitskii P.A.: The Neumann Problem for the 2-D Helmholtz Equation in a Multiply Connected Domain with Cuts. Z. Anal. Anwend. 16 (1997), 349-361. doi: 10.4171/ZAA/766