RT Journal Article T1 On the retention of the interfaces in some elliptic and parabolic nonlinear problems A1 Díaz Díaz, Jesús Ildefonso A1 Alvarez, Luis AB We 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. PB American Institute of Mathematical Sciences SN 1078-0947 YR 2009 FD 2009-09 LK https://hdl.handle.net/20.500.14352/42159 UL https://hdl.handle.net/20.500.14352/42159 LA eng NO Ministerio de Ciencia e Innovacion, Spain NO DGUIC DS Docta Complutense RD 21 abr 2025