Open AccessDecay properties for evolution-parabolic coupled systems related to thermoelastic plate equations
Author(s) -
Zihan Cai,
Litan Yan,
Baiping Ouyang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022017
Subject(s) - thermoelastic damping , wkb approximation , representation (politics) , cauchy distribution , phase space , mathematics , mathematical analysis , parabolic partial differential equation , type (biology) , phase (matter) , initial value problem , space (punctuation) , physics , thermal , partial differential equation , thermodynamics , quantum mechanics , computer science , politics , political science , law , operating system , ecology , biology
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.