Author:
Apraiz Jone,Cheng Jin,Doubova Anna,Fernández-Cara Enrique,Yamamoto Masahiro
Abstract
<p style='text-indent:20px;'>We consider a heat equation and a wave equation in one spatial dimension. This article deals with the inverse problem of determining the size of the spatial interval from some extra boundary information on the solution. Under several different circumstances, we prove uniqueness, non-uniqueness and some size estimates. Moreover, we numerically solve the inverse problems and compute accurate approximations of the size. This is illustrated with several satisfactory numerical experiments.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Control and Optimization,Discrete Mathematics and Combinatorics,Modeling and Simulation,Analysis,Control and Optimization,Discrete Mathematics and Combinatorics,Modelling and Simulation,Analysis
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