TY - JOUR
T1 - Well-Posedness and Stability for Semilinear Thermoelastic System with Boundary Time-Varying Delay and Nonlinear Weight
AU - Zhang , Lingrui
AU - Li , Xuezhi
AU - Miranville , Alain
JO - Journal of Partial Differential Equations
VL - 1
SP - 34
EP - 60
PY - 2025
DA - 2025/04
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n1.3
UR - https://global-sci.org/intro/article_detail/jpde/24035.html
KW - Semilinear thermoelastic system, quasi-stability, time-varying delay, Kato’s perturbation method.
AB - <p style="text-align: justify;">This paper is concerned with the well-posedness, uniform asymptotic stability and dynamics for a semilinear thermoelastic system with time-varying delay
boundary feedback and nonlinear weight, which can be used to describe the physical
procedure of meridian retraction and release therapy. The perturbation theory of linear
operators by Kato is used to deal with the invalidity of Lumper-Phillips theorem on
non-autonomous PDEs operator, the multiplier approach and quasi-stability method
lead to the stability and dynamics for our semilinear problem, which are also true for
linear thermoelastic system without weight.</p>