抄録
We consider parametric nonlinear evolution inclusions defined on an evolution triple of spaces. First we prove some continuous dependence results for the solution sets of both the convex and nonconvex problem and for the set of solution-selector pairs of the convex problem. Subsequently, we derive a parametrized version of the Filippov-Gronwall estimate in which the parameter varies in a continuous fashion. Using that estimate, we prove a continuous version of the nonlinear relaxation theorem. An example of a nonlinear parabolic control system is worked out in detail.
