The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems
Jesús Ildefonso Díaz Díaz, Luis Álvarez · 2003
In this note we study the waiting time phenomenonfor local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support propertyfor local solutions of the family of discretized elliptic problems. We show that, under a suitable growth condition on the initial datum near the boundary of its support, a finite part of the family of solutions of the discretized problem maintain unchanged its support.