Lp-resolvent estimates and time decay for generalized thermoelastic plate equations
| dc.contributor.author | Denk, Robert | |
| dc.contributor.author | Racke, Reinhard | |
| dc.date.accessioned | 2021-07-16T15:19:51Z | |
| dc.date.available | 2021-07-16T15:19:51Z | |
| dc.date.issued | 2006-04-11 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13921 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Analytic semigroup in Lp | |
| dc.subject | Polynomial decay rates | |
| dc.subject | Cauchy problem | |
| dc.title | Lp-resolvent estimates and time decay for generalized thermoelastic plate equations | en_US |
| dc.type | Article |