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.
An elliptic equation with history / ROBERTO GIANNI; DANIELE ANDREUCCI; MICOL AMAR; PAOLO BISEGNA. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - STAMPA. - 338:8(2004), pp. 595-598. [10.1016/j.crma.2004.02.008]
An elliptic equation with history
ROBERTO GIANNI;
2004
Abstract
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.
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