Weighted Aleksandrov estimates: PDE and stochastic versions

Krylov, N.

doi:10.1090/spmj/1611

Weighted Aleksandrov estimates: PDE and stochastic versions
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by N. V. Krylov

St. Petersburg Math. J. 31 (2020), 509-520

DOI: https://doi.org/10.1090/spmj/1611

Published electronically: April 30, 2020

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Abstract:

Several pointwise estimates are proved for solutions of linear elliptic equations with measurable coefficients in smooth domains through the weighted $L_d$-norm of the free term. The weights allow the free term to blow up near the boundary. Weighted estimates for occupation times of diffusion processes are also presented.

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