Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems (Q1773502)

Some existence results are given for the initial value and periodic problem \(u'(t)+Au(t)\ni f(t,u(t))\) and \(u(t)\in K\) for \(0\leq t\leq T\). Here, \(K\) is a closed convex subset of a Hilbert space \(H\), \(A\) is a maximal monotone operator in \(H\) with \(\overline{D(A)}\neq K\), and \(f:[0,T]\times (K\cap V)\to H\) is a Carathéodory function (where \(V\) is a subspace of \(H\)).