On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems

DOI10.1134/S1061920809010014zbMath1180.35072OpenAlexW2067004205MaRDI QIDQ1033815

Yu. O. Koroleva, Lars-Erik Persson, Gregory A. Chechkin, Annette Meidell

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920809010014

zbMATH Keywords

circular holeslinear parabolic problemnon-periodic homogenization

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

On the convergence of a nonlinear boundary-value problem in a perforated domain ⋮ On Friedrichs-type inequalities in domains rarely perforated along the boundary ⋮ Vibrations of a fluid containing a wide spaced net with floats under its free surface ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition ⋮ Unnamed Item ⋮ Spectral analysis of a nonlinear boundary-value problem in a perforated domain. Applications to the Friedrichs inequality in L_p ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity ⋮ On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality

Cites Work

• Homogenization in domains randomly perforated along the boundary
• On the convergence of solutions of singularly perturbed boundary value problems for the Laplacian.
• On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure
• Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems