Spectral approach to homogenization of hyperbolic equations with periodic coefficients
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DOI: 10.1016/j.jde.2018.02.023
Abstract: In $L_2(\mathbb{R}^d;\mathbb{C}^n)$, we consider selfadjoint strongly elliptic second order differential operators ${\mathcal A}_\varepsilon$ with periodic coefficients depending on ${\mathbf x}/ \varepsilon$, $\varepsilon>0$. We study the behavior of the operators $\cos( {\mathcal A}^{1/2}_\varepsilon \tau)$ and ${\mathcal… read more here.
Keywords: periodic coefficients; tau; varepsilon; mathcal varepsilon ... See more keywords