Denk, RobertRacke, Reinhard2021-07-162021-07-162006-04-11Denk, R., & Racke, R. (2006). Lp-resolvent estimates and time decay for generalized thermoelastic plate equations. <i>Electronic Journal of Differential Equations, 2006</i>(48), pp. 1-16.1072-6691https://hdl.handle.net/10877/13921We 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, 1 < p < ∞, 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(ℝn)-norms of solutions, 2 ≤ q ≤ ∞, as time tends to infinity.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalAnalytic semigroup in LpPolynomial decay ratesCauchy problemArticle