Abstract

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>0, N≥2, p>1, B>0, and u0 is a positive function in L∞(Ω) bounded away from zero.

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