The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space

DOI10.1007/BF02355840zbMath0917.35009MaRDI QIDQ1280069

Tatiana A. Shaposhnikova

Publication date: 15 March 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

rapidly oscillating coefficientsestimate for the remainder term

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

An existence result for control problems on the coefficients and the domain for nonlinear parabolic Dirichlet problems. ⋮ Asymptotic approximations for solutions to quasilinear and linear parabolic problems with different perturbed boundary conditions in perforated domains

Cites Work

• Homogenization in open sets with holes
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
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