We prove the existence and uniqueness for a semilinear elliptic problem with memory, both in the weak and the classical setting. This problem describes the effective behaviour of a biological tissue under the injection of an electrical current in the radiofrequency range.
On démontre l'existence et l'unicité pour un problème elliptique semilinéaire avec mémoire, dans l'arrangement faible et classique. Ce problème décrit le comportement effective d'un tissu biologique sous l'injection d'un courant électrique dans le domaine des radiofréquences.
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@article{CRMATH_2004__338_8_595_0, author = {Amar, Micol and Andreucci, Daniele and Bisegna, Paolo and Gianni, Roberto}, title = {An elliptic equation with history}, journal = {Comptes Rendus. Math\'ematique}, pages = {595--598}, publisher = {Elsevier}, volume = {338}, number = {8}, year = {2004}, doi = {10.1016/j.crma.2004.02.008}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.02.008/} }
TY - JOUR AU - Amar, Micol AU - Andreucci, Daniele AU - Bisegna, Paolo AU - Gianni, Roberto TI - An elliptic equation with history JO - Comptes Rendus. Mathématique PY - 2004 SP - 595 EP - 598 VL - 338 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2004.02.008/ DO - 10.1016/j.crma.2004.02.008 LA - en ID - CRMATH_2004__338_8_595_0 ER -
%0 Journal Article %A Amar, Micol %A Andreucci, Daniele %A Bisegna, Paolo %A Gianni, Roberto %T An elliptic equation with history %J Comptes Rendus. Mathématique %D 2004 %P 595-598 %V 338 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2004.02.008/ %R 10.1016/j.crma.2004.02.008 %G en %F CRMATH_2004__338_8_595_0
Amar, Micol; Andreucci, Daniele; Bisegna, Paolo; Gianni, Roberto. An elliptic equation with history. Comptes Rendus. Mathématique, Volume 338 (2004) no. 8, pp. 595-598. doi : 10.1016/j.crma.2004.02.008. http://archive.numdam.org/articles/10.1016/j.crma.2004.02.008/
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