On a nonlocal degenerate parabolic problem
  Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as time tends to infinity are also studied. In particular, the finite time extinction and polynomial decay properties are proved. 
Rui M. P. Almeida and Stanislav N. Antontsev and Jos\'e C. M. Duque
math.AP