Type of Publication: | Journal article |
Author: | Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro |
Year of publication: | 2010 |
Published in: | Zeitschrift für Analysis und ihre Anwendungen ; 2010. - pp. 21-62. - ISSN 0232-2064 |
DOI (citable link): | https://dx.doi.org/10.4171/ZAA/1396 |
Summary: |
In this paper we prove frequency expansions of the resolvent and local energy decay estimates for the linear thermoelastic plate equations:
utt + ∆2u + ∆θ = 0 and θt − ∆θ − ∆ut = 0 in Ω × (0, ∞), subject to Dirichlet boundary conditions: u|Γ = Dν u|Γ = θ|Γ = 0 and initial conditions (u, ut, θ)|t=0 = (u0, v0, θ0). Here Ω is an exterior domain (domain with bounded complement) in Rn with n = 2 or n = 3, the boundary Γ of which is assumed to be a C4-hypersurface. |
Subject (DDC): | 510 Mathematics |
Keywords: | Thermoelastic plate equations, energy estimates, resolvent expansion |
Bibliography of Konstanz: | Yes |
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DENK, Robert, Reinhard RACKE, Yoshihiro SHIBATA, 2010. Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. In: Zeitschrift für Analysis und ihre Anwendungen, pp. 21-62. ISSN 0232-2064. Available under: doi: 10.4171/ZAA/1396
@article{Denk2010Local-12744, title={Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains}, year={2010}, doi={10.4171/ZAA/1396}, issn={0232-2064}, journal={Zeitschrift für Analysis und ihre Anwendungen}, pages={21--62}, author={Denk, Robert and Racke, Reinhard and Shibata, Yoshihiro} }