%0 Journal Article
%T On a mixed problem for a linear coupled system with variable coefficients
%A H. R. Clark
%A L. P. San Gil Jutuca
%A M. Milla Miranda
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X We prove existence, uniqueness and exponential decay of solutions to the mixed problem $$u''(x,t)-mu(t)Delta u(x,t)+sum_{i=1}^n {partial hetaoverpartial x_i}(x,t)=0 $$ $$ heta'(x,t)-Delta heta(x,t) +sum_{i=1}^n {partial u'overpartial x_i}(x,t)=0,,$$ with a suitable boundary damping, and a positive real-valued function $mu$.
%K Mixed problem
%K Boundary damping
%K Exponential stability.
%U http://ejde.math.txstate.edu/Volumes/1998/04/abstr.html