The paper is concerned with linear thermoelastic plate equations in the half-space :
subject to the boundary condition: and initial condition: , where . We show that for any , the associated semigroup is analytic in the underlying space . Moreover, a solution satisfies the estimates:
for provided that when , 1 and that when , where stands for space gradient of order .
Yuka NAITO. Yoshihiro SHIBATA. "On the analytic semigroup associated with the linear thermoelastic plate equations in the half-space." J. Math. Soc. Japan 61 (4) 971 - 1011, October, 2009. https://doi.org/10.2969/jmsj/06140971