Clark, H. R.San Gil Jutuca, L. P.Miranda, Manuel M.2018-11-162018-11-161998-02-13Clark, H. R., San Gil Jutuca, L. P., & Miranda, M. M. (1998). On a mixed problem for a linear coupled system with variable coefficients. <i>Electronic Journal of Differential Equations, 1998</i>(04), pp. 1-20.1072-6691https://hdl.handle.net/10877/7799We prove existence, uniqueness and exponential decay of solutions to the mixed problem u" (x, t) - μ(t)Δu(x, t) + Σni=1 ∂θ/∂xi (x, t) = 0, θ' (x, t) - Δθ(x, t) + Σni=1 ∂u'/∂xi (x, t) = 0, with a suitable boundary damping, and a positive real-valued function μ.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalMixed problemBoundary dampingExponential stabilityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.