@article{Cai2022, 
author = {Zihan Cai and Yan Liu and Baiping Ouyang},
title = {Decay properties for evolution-parabolic coupled systems related to thermoelastic plate equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {260-275},
keywords = {thermoelastic plate equations, non-local operator, decay properties, regularity-loss, Wentzel-Kramers-Brillouin (WKB) analysis, fractional power operators},
url = {https://www.sciopen.com/article/10.3934/math.2022017},
doi = {10.3934/math.2022017},
abstract = {In this paper, we consider the Cauchy problem for a family of evolution-parabolic coupled systems, which are related to the classical thermoelastic plate equations containing non-local operators. By using diagonalization procedure and WKB analysis, we derive representation of solutions in the phase space. Then, sharp decay properties in a framework of        L    p    −      L    q   are investigated via these representations. Particularly, some thresholds for the regularity-loss type decay properties are found.}
}