Non-autonomous approximations governed by the fractional powers of damped wave operators
Date
2019-05-17
Authors
Nascimento, Marcelo J. D.
Bezerra, Flank
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Non-autonomous damped wave equations, Fractional powers, Rate of convergence, Eigenvalues
Citation
Nascimento, 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.
Rights
Attribution 4.0 International