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Excerpt from The Asymptotic Theory of Solutions of (Delta)u]k^2u=0 In Section 2 Bellich'e growth estimate is extended to solutions of the equation k2(x)v 0. From this result we are able to deduce various uniqueness and representation theorems for solutions of this equation. In Section 3 we show that the normal boundary values of a radiating solution, u, of Z_u k2u a O is bounded by a homogeneous quadratic functional of its boundary values. This result combined with the representation theorem for u yields an L2-maximum principle for u. 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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