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Sharp decay rate and asymptotic simplification for a quasilinear heat equation
We study the decay rate for a quasilinear heat equation of the form $ \dot u-Δu = \operatorname{div B}(\nabla u)$. The term on the right-hand-side is interpreted as a nonlinear perturbation of the ordinary heat equation and we will prove an optimal decay rate for the solution. More precisely, under
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