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.
Original language | English |
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Title of host publication | ICNPAA 2016 World Congress |
Subtitle of host publication | 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences |
Publisher | American Institute of Physics Inc. |
Volume | 1798 |
ISBN (Electronic) | 9780735414648 |
DOIs | |
Publication status | Published - Jan 27 2017 |
Event | 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 - La Rochelle, France Duration: Jul 4 2016 → Jul 8 2016 |
Conference
Conference | 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 |
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Country | France |
City | La Rochelle |
Period | 7/4/16 → 7/8/16 |
ASJC Scopus subject areas
- Physics and Astronomy(all)