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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… Click to show full 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.
Keywords:
time independent;
diffusion equation;
reaction diffusion;
reaction;
equation
Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2017
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Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2017
Link to full text (if available)
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recommendations!