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arXiv · 2602.08130

On the parabolic Adams theorem and its applications to diffusion processes

N. V. Krylov
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Abstract

We show how the parabolic version of the Adams theorem and its corollary can be used to estimate in $L_{p}$ the evolution family associated to a divergence form second-order parabolic operator with parabolic Morrey lower-order terms and also how to estimate the moments of the derivatives of solutions of It\^o equations with respect to the initial data when the drift term has singularities.

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N. V. Krylov. 2026-02-08. On the parabolic Adams theorem and its applications to diffusion processes. https://arxiv.org/abs/2602.08130

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