Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation

Магомед Магомедалиевич Сиражудинов, S. P. Dzhamaludinova · Differential Equations · 2022

Abstract The homogenization method for differential operators based on an asymptotic expansion in a small parameter is widely used in mathematics and physics. In addition to the homogenization theorem, it permits one to obtain estimates for the difference between the exact solution and its approximations. The present paper deals with homogenization error estimates for the generalized Beltrami equation with locally periodic coefficients.

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