Parabolic equations in time dependent Reifenberg domains

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Gradient estimates for elliptic systems in non-smooth domains (2008, background): “In the recent paper [7], we have shown that an inner neighborhood of the (δ, R)-Reifenberg flat domain is a Lipschitz domain with the (δ, R)-Reifenberg flat property for δ small.”
Elliptic equations with measurable coefficients in Reifenberg domains (2010, methodology): “We remark that an interior -neighborhood of a δ-Reifenberg flat domain is a Lipschitz domain for small > 0 provided δ > 0 is so small that the domain is a W 1,p extension domain, see [5].”
Elliptic equations with BMO nonlinearity in Reifenberg domains (2008, background): “(See [4].”
Gradient estimates in Orlicz space for nonlinear elliptic equations (2008, background): “In the recent paper [7], the authors showed that an inner neighborhood of the (δ,R)Reifenberg flat domain is a Lipschitz domain with the (δ,R)-Reifenberg flat property for δ small; that is, Ω is a Lipschitz domain with the uniform (δ,R)-Reifenberg flat (see [7, Lemma 4.”
Global weighted estimates for the gradient of solutions to nonlinear elliptic equations (2013, methodology): “The main approach in those works is to make use of harmonic analysis tools such as the maximal function operator, as done in [6,8,9,12].”