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Boundary measures of solutions of partial differential equations

Part of: Partial differential equations

Published online by Cambridge University Press:  26 February 2010

N. A. Watson
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.

MSC classification

Secondary: 35A99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 29 , Issue 1 , June 1982 , pp. 67 - 82
Copyright
Copyright © University College London 1982

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References

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