Lp – Lq Estimates for Parabolic Systems in Non‐Divergence Form with VMO Coefficients

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Parabolic and Elliptic Equations with VMO Coefficients (2005, background): “One can also consult papers [ 6 ] and [14] for various versions and extensions.”
On the Lp-Solvability of Higher Order Parabolic and Elliptic Systems with BMO Coefficients (2010, background): “If coefficients are in the class of VMO, non-divergence type higher order systems in the whole space have been investigated, for example, in [9, 21, 33, 34], where leading coefficients of systems are either VMO with respect to all the variables or independent of the time variable.”
Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains (2011, background): “With this class of coefficients, Lp-estimates for higher order equations have been obtained in [10], [21], [34], [35] and [32].”
Lp solvability of divergence type parabolic and elliptic systems with partially BMO coefficients (2011, methodology): “This class of coefficients are also more general than those in [10, 18, 19].”
Elliptic Equations in Divergence Form with Partially BMO Coefficients (2008, unknown): “1”