2019
Том 71
№ 11

All Issues

Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains

Skrypnik I. V.

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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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