An elliptic equation with history
Micòl Amar, Daniele Andreucci, Paolo Bisegna, Roberto Gianni · Comptes Rendus Mathématique · 2004
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.