Abstract

We denote the point xj(0)+iyi(0) by ai and the point xi(l)+iyi(1) by bi. We assume that the functions xi(t) and yi(t) have Holder continuous second derivatives and that the arcs Li do not intersect. We denote the union of the Li's by L and the open set E2L by G. We seek a function u8(x, y) which satisfies the following conditions: (a) u8 is continuous in E2, (b) in G, u8 satisfies the reduced wave equation

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