Lp-resolvent estimates and time decay for generalized thermoelastic plate equations
| dc.contributor.author | Denk, Robert (  0000-0002-5406-4486 ) | |
| 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.identifier.citation | Denk, 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. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13921 | |
| 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 Lq(ℝn)-norms of solutions, 2 ≤ q ≤ ∞, as time tends to infinity. | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
| 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 | en_US |
| dc.subject | Polynomial decay rates | en_US |
| dc.subject | Cauchy problem | en_US |
| dc.title | Lp-resolvent estimates and time decay for generalized thermoelastic plate equations | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
