Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 48, pp. 1-16.

Title: $L^p$-resolvent estimates and time decay for generalized
       thermoelastic plate equations
       
Authors: Robert Denk (Univ. of Konstanz, Germany)
         Reinhard Racke (Univ. of Konstanz, Germany)

Abstract: 
 We consider the Cauchy problem for a coupled system generalizing
 the thermoelastic plate equations. First we prove resolvent
 estimates for the stationary operator and conclude the
 analyticity of the associated semigroup in $L^p$-spaces,
 $1<p<\infty$, for certain values of the parameters of the system;
 here the Newton polygon method is used.
 Then we prove decay rates of the $L^q(\mathbb{R}^n)$-norms of 
 solutions, $2\leq q\leq\infty$, as time tends to infinity.
 
Submitted September 13, 2005. Published April 11, 2006.
Math Subject Classifications: 35M20, 35B40, 35Q72, 47D06, 74F05.
Key Words: Analytic semigroup in $L^p$; polynomial decay rates;
           Cauchy problem.