Linear parabolic problem: High-frequency asymptotics in the critical case

DOI10.1134/S0965542513070105zbMath1299.35146OpenAlexW2080598181MaRDI QIDQ5413130

V. B. Levenshtam, E. A. Il'Icheva, V. Gusachenko

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513070105

zbMATH Keywords

parabolic problemtime-periodic solutionhigh-frequency termslimiting (averaged) degenerated problem

Mathematics Subject Classification ID

Second-order parabolic equations (35K10)

Related Items (6)

On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space ⋮ High-frequency asymptotics of a solution to a linear system with the Stokes operator in the principal part ⋮ High-frequency asymptotics of solutions of ODE in a Banach space ⋮ A system of partial differential equations with high-frequency coefficients and Stokes operator in the main part. Asymptotic integration in the case of multiple degeneration ⋮ Asymptotic integration of linear parabolic problems with high-frequency coefficients in the critical case ⋮ Asymptotic analysis of linear parabolic problems with singularities

Cites Work

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• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• A JUSTIFICATION OF THE AVERAGING METHOD FOR ABSTRACT PARABOLIC EQUATIONS

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