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Boundary measures of solutions of partial differential equations

Published online by Cambridge University Press:  26 February 2010

N. A. Watson
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch, New Zealand.
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Extract

Given a second-order, linear, partial differential equation, it is sometimes the case that an arbitrary non-negative solution on a strip or half-space ℝn × ]0, c[, where 0 < c ≤ ∞, can be represented by the integral of a kernel function with respect to a non-negative measure on ℝn. The solution is thus, at least theoretically, determined by the measure. This paper is concerned with the determination of the measure, given the solution.

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Type
Research Article
Copyright
Copyright © University College London 1982

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