Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains

DOI10.1016/j.jmaa.2004.12.051zbMath1072.35025OpenAlexW1986066869MaRDI QIDQ1779353

Carmen Calvo-Jurado, Juan Casado-Díaz

Publication date: 1 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.051

zbMATH Keywords

\(H\)-convergence

Mathematics Subject Classification ID

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

Related Items

Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design

Cites Work

• Wiener's criterion and \(\Gamma\)-convergence
• Limits of nonlinear Dirichlet problems in varying domains
• Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
• The limit of Dirichlet systems for variable monotone operators in general perforated domains.
• Homogenization of Dirichlet pseudomonotone problems with renormalized solutions in perforated domains
• Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
• Change of variables for absolutely continuous functions
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• An effect of double homogenization for Dirichlet problems in variable domains of general structure
• NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS
• Homogenisation of Dirichlet problems for monotone operators in varying domains
• Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
• Homogenization of Dirichlet parabolic systems with variable monotone operators in general perforated domains
• Asymptotic Behavior of Nonlinear Elliptic Systems on Varying Domains
• SOME PROPERTIES OF THE SPECTRUM OF NONLINEAR EQUATIONS OF STURM-LIOUVILLE TYPE
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