Publisher's Synopsis
Excerpt from The Asymptotic Theory of Solutions of (Delta)u]k DEGREES2u=0
In Section 2 Bellich'e growth estimate is extended to solutions of the equation [x'v k2(x)v O. 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 [x'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.
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