Parabolic equations with BMO coefficients in Lipschitz domains

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Parabolic systems with polynomial growth and regularity (2011, methodology): “16) for parabolic equations we also quote [15, 16] in turn based also on an innovative approach found by Caffarelli & Peral [17].”
Gradient estimates for a class of parabolic systems (2007, methodology): “Parabolic equations with coefficients of VMO/BMO type have been treated only in the linear case and, in particular, again when p = 2, making use of harmonic analysis tools such as nonlinear commutators (see [3]) and, more recently, of the maximal function operator (see [4]); needless to say, such in”
Regularity of minima: An invitation to the dark side of the calculus of variations (2006, background): “Studying Calderón-Zygmund type estimates for equations with discontinuous coefficients has been the object of intensive investigation at length: see [60, 88, 42], and references.”
Parabolic and Elliptic Equations with VMO Coefficients (2005, background): “…of second order derivatives, on the other hand, we do not use integral representations of these derivatives to deal with contributions from “far away”, but deal with these contributions by splitting the function into two parts, one of which is “harmonic”, that is satisfies the homogeneous equation.”
Parabolic Equations in Reifenberg Domains (2005, methodology): “In this paper the Vitali covering lemma will be used as in [5–8, 34].”