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

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Local_energy_decay_estimate_of_solutions_to_the_thermoelastic_plate_equations_in_two_and_three_dimensional_exterior_domains.pdf
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2008

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Shibata, Yoshihiro

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In this paper we prove frequency expansions of the resolvent and local energy decay estimates for the linear thermoelastic plate equations subject to Dirichlet boundary conditions and initial conditions. The equation is considered in an exterior domain (domain with bounded complement) in the two- and three-dimensional space.

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Fachgebiet (DDC)
510 Mathematik

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Lokale Energieabschätzung

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ISO 690DENK, Robert, Reinhard RACKE, Yoshihiro SHIBATA, 2008. Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains
BibTex
@techreport{Denk2008Local-509,
  year={2008},
  series={Konstanzer Schriften in Mathematik und Informatik},
  title={Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains},
  number={251},
  author={Denk, Robert and Racke, Reinhard and Shibata, Yoshihiro}
}
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