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arXiv · 1809.07184

Weighted Aleksandrov estimates: PDE and stochastic versions

N. V. Krylov
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Abstract

We prove several pointwise estimates for solutions of linear elliptic (parabolic) equations with measurable coefficients in smooth domains (cylinders) through the weighted $L_{d}$ ($L_{d+1}$)-norm of the free term. The weights allow the free term to blow up near the (latteral) boundary. We also present weighted estimates for occupation times of diffusion processes.

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N. V. Krylov. 2018-09-18. Weighted Aleksandrov estimates: PDE and stochastic versions. https://arxiv.org/abs/1809.07184

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