Lp-resolvent estimates and time decay for generalized thermoelastic plate equations
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Date
2006-04-11
Authors
Denk, Robert
Racke, Reinhard
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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, 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<sup>q</sup>(ℝn)-norms of solutions, 2 ≤ q ≤ ∞, as time tends to infinity.
Description
Keywords
Analytic semigroup in Lp, Polynomial decay rates, Cauchy problem
Citation
Denk, 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.
Rights
Attribution 4.0 International