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Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains

Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains

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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} }

Denk, Robert eng 2010 Shibata, Yoshihiro Publ. in: Zeitschrift für Analysis und ihre Anwendungen 29 (2010), 1, pp. 21-62 2011-07-15T08:24:45Z In this paper we prove frequency expansions of the resolvent and local energy decay estimates for the linear thermoelastic plate equations:<br /><br />utt + ∆2u + ∆θ = 0 and θt − ∆θ − ∆ut = 0 in Ω × (0, ∞),<br /><br />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. Shibata, Yoshihiro Denk, Robert terms-of-use Racke, Reinhard Racke, Reinhard 2011-07-15T08:24:45Z Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains

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