Averaging of parabolic initial-boundary value problems with rapidly oscillating principal part

DOI10.1007/S10958-016-3080-YzbMath1382.35021OpenAlexW2528329857MaRDI QIDQ2373988

P. V. Babich, V. B. Levenshtam

Publication date: 14 December 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-016-3080-y

zbMATH Keywords

Krylov-Bogolyubov averaging methodtime-oscillating principal terms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Quasilinear parabolic equations (35K59)

Cites Work

• The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
• Principle of Averaging for Parabolic and Elliptic Differential Equations and for Markov Processes with Small Diffusion
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