On a class of singular or degenerate hyperbolic variational inequalities (Q1176208)

The authors study variational inequalities of the form \(u'(t)\in K\) for a.e. \(t\in(0,T)\); \((t^ 2u''(t)+atu'(t)+t^{2\alpha}Au(t)-f(t)\), \(v- u'(t))\geq 0 \forall v\in K\) for a.e. \(t\in(0,T)\), where \(K\) is a closed convex subset of \(V\), \(V\subset H\equiv H^*\subset V^*\) and \(A\in{\mathcal L}(V,V^*)\) is a symmetric strictly \(V\)-coercive operator. The inequalities are studied in the framework of suitable weighted spaces. The existence and uniqueness theorem is the main result.