I want to ask two questions about the stabilization of the equation $$\eqalign{ & {y_{tt}} = k(t,x){y_{xx}}+a(t,x){y_t}+ b(t,x){y_x}+ c(t,x){y_x} +d(t,x)y \ \ (t,x) \in {\text{ }}(0,\infty ) \times (0 ,1) \cr & y(t,0) = y(t,1) = 0 \cr} $$ The first one: Is there exists an exponential stabilization result concerning the above equation?. The second question: Is it interesting from mathematical or physical applications of this kind of equations?. Thanks.
$\begingroup$
$\endgroup$
Add a comment
|