Racke, Reinhard \(L^p-L^q\)-estimates for solutions to the equations of linear thermoelasticity in exterior domains. (English) Zbl 0724.35019 Asymptotic Anal. 3, No. 2, 105-132 (1990). The author studies local decay, \(L^p-L^q\) decay, and decay estimates for derivatives for solutions (of the “coupled part”) of the linear equations of thermoelasticity in the exterior of a star shaped domain. One of the main ingredients is the use of generalized Fourier transforms (i.e. of generalized eigenfunction expansions) associated with the Laplace operator with Dirichlet boundary conditions. Reviewer: O.Liess (Darmstadt) Cited in 5 Documents MSC: 35B40 Asymptotic behavior of solutions to PDEs 35M20 PDE of composite type (MSC2000) 74B99 Elastic materials 42C15 General harmonic expansions, frames Keywords:decay estimates; thermoelasticity PDFBibTeX XMLCite \textit{R. Racke}, Asymptotic Anal. 3, No. 2, 105--132 (1990; Zbl 0724.35019)