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Asymptotic expansion of solutions to an inverse problem of parabolic type with non-homogeneous boundary conditions

Published online by Cambridge University Press:  15 July 2011

Davide Guidetti
Davide Guidetti
Affiliation:
Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy (guidetti@dm.unibo.it)
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Abstract

We consider an inverse parabolic problem of reconstruction of the source function, together with the traditional solution. In contrast with older literature, we consider non-homogeneous and time-dependent boundary conditions. We are able to prove a general result of convergence to a stationary state, and of asymptotic expansion as t → ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 4 , August 2011 , pp. 777 - 817
Copyright
Copyright © Royal Society of Edinburgh 2011

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