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On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative

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In this paper we present the following result on regularity of solutions of the second order parabolic equation ∂ t u - div ( A ∇ u ) + B · ∇ u = 0 on cylindrical domains of the form Ω = O × R where O ⊂ R n is a un... ...