摘要
The qualitative properties of solutions of a Neumann problem for the singular parabolic equation ut = (u^m-1 ux)x (-1 〈 m ≤0) is studied in this paper. It is proved that there exists a unique global smooth solution which depends on the initial value. The large time behavior of the solutions is also discussed.
The qualitative properties of solutions of a Neumann problem for the singular parabolic equation ut = (u^m-1 ux)x (-1 〈 m ≤0) is studied in this paper. It is proved that there exists a unique global smooth solution which depends on the initial value. The large time behavior of the solutions is also discussed.