Develops existence, uniqueness, and regularity theory for Itô equations and parabolic PDEs with singular drifts using Morrey-space conditions that are new even when the drift vanishes.
Krylov,On weak and strong solutions of time inhomogeneous Itˆ o’s equations with VMO diffusion and Morrey drift, Stochastic Process
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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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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Stochastic It\^o Equations and Parabolic Second-Order Equations with singular Drift
Develops existence, uniqueness, and regularity theory for Itô equations and parabolic PDEs with singular drifts using Morrey-space conditions that are new even when the drift vanishes.