On a homogenization method for differential operators with oscillating coefficients
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Publication:492742
DOI10.1134/S106456241502026XzbMath1326.35022OpenAlexW2321379316MaRDI QIDQ492742
S. Yu. Dobrokhotov, Brunello Tirozzi, Vladimir E. Nazaikinskii
Publication date: 21 August 2015
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106456241502026x
Initial value problems for second-order hyperbolic equations (35L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Asymptotic solutions of the Cauchy problem for the nonlinear shallow water equations in a basin with a gently sloping beach ⋮ Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom ⋮ Homogenization of the Cauchy Problem for the Wave Equation with Rapidly Varying Coefficients and Initial Conditions ⋮ Homogenization for operators with arbitrary perturbations in coefficients ⋮ Homogenization of operators with perturbations of general form in the lower-order terms ⋮ Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections
Cites Work
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- Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients
- Operator separation of variables for adiabatic problems in quantum and wave mechanics
- Approximate formulas for eigenvalues of the Laplace operator on a torus arising in linear problems with oscillating coefficients
- Averaging of linear operators, adiabatic approximation, and pseudodifferential operators
- Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source
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