Optimal energy decay in a one-dimensional wave-heat system with infinite heat part
Analysis of PDEs
2020-10-01 v4 Functional Analysis
Abstract
Using recent results in the theory of -semigroups due to Batty, Chill and Tomilov (J. Eur. Math. Soc. 18(4):853-929, 2016) we study energy decay in a one-dimensional coupled wave-heat system with finite wave part and infinite heat part. Our main result provides a sharp estimate for the rate of energy decay of a certain class of classical solutions. The present paper can be thought of as a natural sequel to a recent work by Batty, Paunonen and Seifert (J. Evol. Equ. 16:649-664, 2016), which studied a similar wave-heat system with finite wave and heat parts using a celebrated result due to Borichev and Tomilov.
Cite
@article{arxiv.1903.03801,
title = {Optimal energy decay in a one-dimensional wave-heat system with infinite heat part},
author = {Abraham C. S. Ng and David Seifert},
journal= {arXiv preprint arXiv:1903.03801},
year = {2020}
}
Comments
To appear in the Journal of Mathematical Analysis and Applications