Clark, M. R.; Clark, H. R.; Marinho, A. O. On a coupled linear system with homogeneous damping. (English) Zbl 1165.35324 Appl. Math. Sci., Ruse 2, No. 13-16, 679-699 (2008). Summary: We investigate the global existence of both strong and weak solutions for a linear coupled system with homogeneous feedback boundary conditions in bounded-open domain \(\Omega\) in \(\mathbb R^n\) with \(n\in\mathbb N\). We also prove the exponential decay of total energy associated with weak solutions. Cited in 2 Documents MSC: 35B40 Asymptotic behavior of solutions to PDEs Keywords:parabolic-hyperbolic coupled system; mixed problem; strong and weak solution PDF BibTeX XML Cite \textit{M. R. Clark} et al., Appl. Math. Sci., Ruse 2, No. 13--16, 679--699 (2008; Zbl 1165.35324)