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An inverse problem for the heat equation

Published online by Cambridge University Press:  14 November 2011

A. G. Ramm
Affiliation:
Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, U.S.A. e-mail: ramm@ ksuvm.ksu.edu

Synopsis

Uniqueness of the solution to the following inverse problem is established. Given the heat equation, the initial temperature, the boundary regime at the left end of a finite rod and the measurements of the temperature at an intermediate point of the rod, find the temperature at the right end of the rod.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1993

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References

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