Díaz Díaz, Jesús IldefonsoAlvarez, Luis2023-06-202023-06-202009-091078-094710.3934/dcds.2009.25.1https://hdl.handle.net/20.500.14352/42159We study some retention phenomena on the free boundaries associated to some elliptic and parabolic problems of reaction-diffusion type. This is the case, for instance, of the wait in g time phenomenon for solutions of suitable parabolic equations. We find sufficient conditions in order to have a discrete version of the waiting time property (the so called nondiffusion of the support) for solutions of the associated family of elliptic equations and prove how to pass to the limit in order to get this property for the solutions of the parabolic equation.engjournal articlehttp://aimsciences.org/journals/pdfs.jsp?paperID=4266&mode=fullhttp://aimsciences.org/restricted access517.977.56strong maximum principleequationsGeometría diferencialEcuaciones diferenciales1204.04 Geometría Diferencial1202.07 Ecuaciones en Diferencias