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.
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Under sufficiently small Carleson norm and Lipschitz constant, the L^p Neumann problem for the parabolic operator is solvable for all 1 < p < ∞ on Lipschitz cylinders.
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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.
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The $L^p$ Neumann problem for parabolic operators with coefficients satisfying small Carleson condition
Under sufficiently small Carleson norm and Lipschitz constant, the L^p Neumann problem for the parabolic operator is solvable for all 1 < p < ∞ on Lipschitz cylinders.