Abstract
In this paper we obtain the following local Lorentz estimatesB(|F|)∈Llocγ,q⇒B(|∇u|)∈Llocγ,qfor anyγ>1and0<q≤∞ of the weak solutions for a class of quasilinear parabolic systemsut−div(a(|∇u|)∇u)=div(a(|F|)F), where B(t)=∫0tτa(τ)dτ for t≥0.
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