Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation
Author:
Affiliation:
1. Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, 278-8510, Japan. E-mail: yamazaki@ma.noda.tus.ac.jp; Tel.: ; Fax:
Abstract
Publisher
IOS Press
Subject
General Mathematics
Reference27 articles.
1. J. Bergh and J. Löfström, Interpolation Spaces, an Introduction, Springer, 1976.
2. T.B.N. Bui and M. Reissig, The interplay between time-dependent speed of propagation and dissipation in wave models, Fourier analysis, in: Trends Math., M. Ruzhansky and V. Turunen, eds, Birkhäuser/Springer, Cham, 2014, pp. 9–45.
3. An optimal estimate for the difference of solutions of two abstract evolution equations;Chill;J. Differential Equations,2003
4. A class of dissipative wave equations with time-dependent speed and damping;D’Abbicco;J. Math. Anal. Appl.,2013
5. Theory of damped wave models with integrable and decaying in time speed of propagation;Ebert;J. Hyperbolic Differential Equations,2016
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