Maximum modulus estimates are proved for the heat equation with Morrey drift whenever d/p + 2/q < 2, holding for any integration order in the L_{q,p} norm, with an application to Ladyzhenskaya-Prodi-Serrin drifts.
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On the heat equation with singular drift
Maximum modulus estimates are proved for the heat equation with Morrey drift whenever d/p + 2/q < 2, holding for any integration order in the L_{q,p} norm, with an application to Ladyzhenskaya-Prodi-Serrin drifts.