On the \(L_{p}\) analytic semigroup associated with the linear thermoelastic plate equations in the half-space

DOI10.2969/jmsj/06140971zbMath1184.35062OpenAlexW2091613147MaRDI QIDQ1046433

Yuka Naito, Yoshihiro Shibata

Publication date: 22 December 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/4/61_971/_article

zbMATH Keywords

initial boundary value problemresolvent estimateparabolic-hyperbolic system\(L_p\)-\(L_q\) decay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Spectrum, resolvent (47A10)

Related Items

Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains ⋮ Maximal regularity for the thermoelastic plate equations with free boundary conditions ⋮ A note on asymptotic profiles for the thermoelastic plate system ⋮ Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law ⋮ Local strong solutions for the non-linear thermoelastic plate equation on rectangular domains in \(L^p\)-spaces ⋮ The Work of Yoshihiro Shibata ⋮ Long-time behavior of quasilinear thermoelastic Kirchhoff-Love plates with second sound ⋮ Generation of semigroups for the thermoelastic plate equation with free boundary conditions

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