Geodesic
Time-independent reaction-diffusion equation with a discontinuous reactive term
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 5, pp. 854-866 
N. T. Levashova; N. N. Nefedov; A. O. Orlov. Time-independent reaction-diffusion equation with a discontinuous reactive term. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 5, pp. 854-866. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A two-dimensional singularly perturbed elliptic equation referred to in applications as the reaction-diffusion equation is considered. The nonlinearity describing the reaction is assumed to be discontinuous on a certain closed curve. On the basis of the generalized asymptotic comparison principle, the existence of smooth solution is proven and the accuracy of the asymptotic approximation is estimated.

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