Geodesic
The initial boundary value problem for a nonlocal singularly perturbed reaction–diffusion equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6, pp. 1042-1047 
N. N. Nefedov; A. G. Nikitin. The initial boundary value problem for a nonlocal singularly perturbed reaction–diffusion equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6, pp. 1042-1047. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_6_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The initial boundary value problem for a nonlinear singularly perturbed integro-parabolic equation is examined. An asymptotic expansion of the solution to this problem containing the temporal, spatial and corner boundary layers is constructed. The existence and local uniqueness of the solution is justified by using the asymptotic method of differential inequalities.

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