具有非线性吸收项的快扩散渗流方程解的熄灭

Extinction of Solutions to a Class of Fast Diffusion Porous Medium Equations with Nonlinear Absorption Term

考虑快扩散方程解在有限时刻的熄灭性质,利用Lp估计和内插不等式给出了解在有限时刻熄灭的充分条件及衰退估计.

The authors investigated the extinction for a class of fast diffusion equations in finite time,giving the sufficient conditions about the extinction and the decay estimates of solutions with the help of Lp estimate methods and interpolation inequalities.