Approximate formulas for eigenvalues of the Laplace operator on a torus arising in linear problems with oscillating coefficients

DOI10.1134/S1061920812030016zbMath1257.35135OpenAlexW2045893334MaRDI QIDQ1933339

Jochen Brüning, V. V. Grushin, S. Yu. Dobrokhotov

Publication date: 23 January 2013

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

Full work available at URL: https://doi.org/10.1134/s1061920812030016

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

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 ⋮ Asymptotic solution of the Cauchy problem with localized initial data for a wave equation with small dispersion effects ⋮ On a homogenization method for differential operators with oscillating coefficients ⋮ Homogenization in the problem of long water waves over a bottom site with fast oscillations

Cites Work

• 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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