A uniqueness result for a degenerate parabolic problem
We prove uniqueness of a weak solution for a degenerate parabolic problem arising in various physical models. The technique is based in showing that every weak solution is also an entropy solution in the sense of Carrillo and then in adapting the known techniques that give the uniqueness for this type of solutions. We treat equations with lower order terms that have a particular structure and show with a counterexample that for general lower order terms the uniqueness does not hold.
Noureddine Igbida, CMAF, Universidade de Lisboa, Portugal
November 19, 1999