We study an electrical conduction problem in biological tissues in the radiofrequency range, which is governed by an elliptic equation with memory. We prove the time exponential asymptotic stability of the solution. We provide in this way both a theoretical justification to the complex elliptic problem currently used in electrical impedance tomography and additional information on the structure of the complex coefficients appearing in the elliptic equation. Our approach relies on the fact that the elliptic equation with memory is the homogenisation limit of a sequence of problems for which we prove suitable uniform estimates.
Amar, M., Andreucci, D., Bisegna, P., & Gianni, R. (2009). Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 20, 431-459.
Tipologia: | Articolo su rivista |
Citazione: | Amar, M., Andreucci, D., Bisegna, P., & Gianni, R. (2009). Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 20, 431-459. |
IF: | Con Impact Factor ISI |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore ICAR/08 - Scienza delle Costruzioni Settore ING-IND/34 - Bioingegneria Industriale Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1017/S0956792509990052 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2009 |
Titolo: | Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues |
Autori: | |
Autori: | Amar, M; Andreucci, D; Bisegna, P; Gianni, R |
Appare nelle tipologie: | 01 - Articolo su rivista |
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