An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain

Herb Kunze, Davide La Torre

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publicationICNPAA 2016 World Congress
Subtitle of host publication11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
PublisherAmerican Institute of Physics Inc.
Volume1798
ISBN (Electronic)9780735414648
DOIs
Publication statusPublished - Jan 27 2017
Event11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 - La Rochelle, France
Duration: Jul 4 2016Jul 8 2016

Conference

Conference11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016
CountryFrance
CityLa Rochelle
Period7/4/167/8/16

Fingerprint

reaction-diffusion equations
estimating

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Kunze, H., & Torre, D. L. (2017). An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. In ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (Vol. 1798). [020089] American Institute of Physics Inc.. https://doi.org/10.1063/1.4972681

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 proceedingConference contribution

Kunze, H & Torre, DL 2017, An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. in ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. vol. 1798, 020089, American Institute of Physics Inc., 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 7/4/16. https://doi.org/10.1063/1.4972681
Kunze H, Torre DL. An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. In ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798. American Institute of Physics Inc. 2017. 020089 https://doi.org/10.1063/1.4972681
Kunze, Herb ; Torre, Davide La. / An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798 American Institute of Physics Inc., 2017.
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