We consider an inverse problem for a two-dimensional system of steady-state reaction-diffusions acting on a perforated domain. We establish several results that connect the parameter values for the problem on the perforated domain with the corresponding problem on the related unperforated of solid domain. This opens the possibility of estimating a solution to the inverse problem on the perforated domain by instead working with the easier-to-solve inverse problem on the solid domain. We illustrate the results with an example.
An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain / H. Kunze, D. La Torre (AIP CONFERENCE PROCEEDINGS). - In: ICNPAA 2016 : World Congress[s.l] : American Institute of Physics, 2017 Feb. - ISBN 9780735414648. - pp. 020089-1-020089-6 (( Intervento presentato al 11. convegno ICNPAA tenutosi a La Rochelle nel 2016 [10.1063/1.4972681].
An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain
D. La Torre
2017
Abstract
We consider an inverse problem for a two-dimensional system of steady-state reaction-diffusions acting on a perforated domain. We establish several results that connect the parameter values for the problem on the perforated domain with the corresponding problem on the related unperforated of solid domain. This opens the possibility of estimating a solution to the inverse problem on the perforated domain by instead working with the easier-to-solve inverse problem on the solid domain. We illustrate the results with an example.File | Dimensione | Formato | |
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