Lp-resolvent estimates and time decay for generalized thermoelastic plate equations
MetadataShow full metadata
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, 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 Lq(ℝn)-norms of solutions, 2 ≤ q ≤ ∞, as time tends to infinity.
CitationDenk, R., & Racke, R. (2006). Lp-resolvent estimates and time decay for generalized thermoelastic plate equations. Electronic Journal of Differential Equations, 2006(48), pp. 1-16.
This work is licensed under a Creative Commons Attribution 4.0 International License.