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Excerpt from Some Uniqueness Theorems for the Reduced Wave Equation The general mixed boundary value problem in diffraction theory has apparently not been considered elsewhere, although some special problems have been investi gated. The third boundary value problem (for smooth surfaces) was treated by Leis [12] Regarding infinite boundaries, Peters and Stoker proved uniqueness for the case of a boundary in two dimensions which consists, eventually, of two straight lines extending to infinity. For the case of real k, the extension of the unique ness theorem to infinite boundaries presented here treats the three dimensional analogues of the infinite boundaries of [?fl, namely, eventually conical boundaries. However, in the three dimensional case, where the cones have arbitrary shapes they may have edges extending to infinity) and where mixed boundary condi tions are considered, the proof; although along lines similar to that of [b. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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