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 |
|---|---|
| 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 |
|---|---|
| Country | France |
| City | La Rochelle |
| Period | 7/4/16 → 7/8/16 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. / Kunze, Herb; Torre, Davide La.
ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798 American Institute of Physics Inc., 2017. 020089.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain
AU - Kunze, Herb
AU - Torre, Davide La
PY - 2017/1/27
Y1 - 2017/1/27
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85013663881&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85013663881&partnerID=8YFLogxK
U2 - 10.1063/1.4972681
DO - 10.1063/1.4972681
M3 - Conference contribution
VL - 1798
BT - ICNPAA 2016 World Congress
PB - American Institute of Physics Inc.
ER -