Taku Kanazawa
Published 2013-02-18, updated 2013-07-08Version 2
We establish partial regularity for vector-valued solutions to inhomogeneous elliptic systems in divergence form where the coefficients are possibly discontinuous with respect to $x$. More precisely, we assume a VMO-condition with respect to the $x$ and continuity with respect to $u$ and prove H\"older continuity of the solutions outside of singular sets.
$L_p$-estimates for parabolic equations in divergence form with a half-time derivative
Counterexamples to maximal regularity for operators in divergence form
Expansion of Green's function and regularity of Robin's function for elliptic operators in divergence form
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