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(0.4) lim ε→0 uε = u. An extensive body of literature is devoted to homogenization problems. In the first place, the books [1]–[3] should be mentioned. Homogenization has different aspects (e.g., constructing the power series expansion in ε for uε − u, or estimating the error in (0.4)). The class of periodic problems of mathematical physics that are studied in the homogenization theory is quite extensive.

On homogenization procedure for periodic operators near the edge of an internal gap