带吸收项的非线性双重退缩抛物方程的Cauchy问题

The Cauchy Problem for the Nonlinear Doubly Degenrate Parabolic Equation with Absorption

讨论带吸收项的非线性双重退缩抛物方程ut=div(| um|p -2 um ) - uqu(x,0 ) =u0 (x)的 Cauchy问题解的存在性 .

In this paper, the existence of solution of the Cauchy problem for the nonlinear doubly degenerate parabolic equation with asborptionu t= div (|u m| p-2 u m)-u q in R N×(0,T) u(x,0)=u 0(x) in R Nis studied.