Existence of solutions for degenerate parabolic equations with singular terms

In this paper we deal with parabolic problems whose simplest model is {u′−Δpu+B|∇u|pu=0in  (0,T)×Ω,u(0,x)=u0(x)in  Ω,u(t,x)=0on  (0,T)×∂Ω, where T>0T>0, N≥2N≥2, p>1p>1, B>0B>0, and u0u0 is a positive function in L∞(Ω)L∞(Ω) bounded away from zero.