Abstract
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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Original Russian Text © N.T. Levashova, N.N. Nefedov, A.O. Orlov, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 5, pp. 854–866.
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Levashova, N.T., Nefedov, N.N. & Orlov, A.O. Time-independent reaction–diffusion equation with a discontinuous reactive term. Comput. Math. and Math. Phys. 57, 854–866 (2017). https://doi.org/10.1134/S0965542517050062
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DOI: https://doi.org/10.1134/S0965542517050062