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
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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