Díaz Díaz, Jesús IldefonsoMingazzini, Tommaso2023-06-182023-06-182015-060362-546X10.1016/j.na.2014.10.016https://hdl.handle.net/20.500.14352/22980We give conditions on the behaviour of the trace datum near the boundary of its support in order to know whether the free boundary given by the boundary of the support of the solution of suitable elliptic or parabolic semilinear problem is connected or not with the boundary of the support of the boundary datum.engjournal articleopen access517.9Semilinear elliptic and parabolic problemsFree boundaryCompact supportBoundary behaviourEcuaciones diferenciales1202.07 Ecuaciones en Diferencias