On a nonlocal degenerate parabolic problem

Almeida, Rui M.P.; Antontsev, Stanislav N.; Duque, José C. M.

http://hdl.handle.net/10400.6/9671

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Authors

Almeida, Rui M.P.

Antontsev, Stanislav N.

Duque, José C. M.

Abstract(s)

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.