Nascimento, Marcelo J. D.Bezerra, Flank2021-11-292021-11-292019-05-17Nascimento, M. J. D., & Bezerra, F. D. M. (2019). Non-autonomous approximations governed by the fractional powers of damped wave operators. <i>Electronic Journal of Differential Equations, 2019</i>(72), pp. 1-19.1072-6691https://hdl.handle.net/10877/14960In this article we study non-autonomous approximations governed by the fractional powers of damped wave operators of order α ∈ (0, 1) subject to Dirichlet boundary conditions in an n-dimensional bounded domain with smooth boundary. We give explicitly expressions for the fractional powers of the wave operator, we compute their resolvent operators and their eigenvalues. Moreover, we study the convergence as α ↗ 1 with rate 1 - α.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalNon-autonomous damped wave equationsFractional powersRate of convergenceEigenvaluesArticle