Lp-resolvent estimates and time decay for generalized thermoelastic plate equations
R. Denk, R. Racke
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 Lp-spaces for certain values of the parameters of the system; here the Newton polygon method is used. Then we prove decay rates of the Lq-norms of solutions, q>=2, as time tends to infinity.
Electron. J. Differ. Equ. 2006 (2006), No. 48, pp. 1-16.
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