Nonlinear parabolic problems in perforated domains
The behavior of the remainder term of the asymptotic expansion for solutions of a quasi-linear parabolic Cauchy-Dirichlet problem in a sequence of domains with fine-granulated boundary is studied. By using a modification of the asymptotic expansion and new pointwise estimates of solutions of the model problem, the uniform convergence of the remainder term to zero is proved.
KeywordsAsymptotic Expansion Elliptic Problem Strong Convergence Uniform Convergence Parabolic Problem
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