Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains
Abstract
The asymptotic expansion of solutions to quasilinear parabolic problems with the Dirichlet boundary condilions is constructed in the regions with a fine-grain boundary. It is shown that the sequence of the remainders of the expansion strongly converges to zero in the space $W^{1,1/2}_2$.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 11, pp 1736-1761.
Citation Example: Skrypnik I. V. Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains // Ukr. Mat. Zh. - 1993. - 45, № 11. - pp. 1542–1566.
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