Proves solvability of the L^p regularity problem for parabolic operators under a parabolic Carleson condition on coefficients, for p in (1, p0) for some p0>1.
Brown, Layer Potentials and Boundary Value Problems for the Heat Equation on Lipschitz Cylinders , Thesis (Ph.D.)–University of Minnesota ProQuest LLC, Ann Arbor, MI
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The $L^p$ regularity problem for parabolic operators
Proves solvability of the L^p regularity problem for parabolic operators under a parabolic Carleson condition on coefficients, for p in (1, p0) for some p0>1.