Аннотация:
We prove several pointwise estimates for solutions of linear elliptic equations with measurable coefficients in smooth domains through the weighted Ld-norm of the free term. The weights allow the free term to blow up near the boundary. We also present weighted estimates for occupation times of diffusion processes.
Образец цитирования:
N. V. Krylov, “Weighted Aleksandrov estimates: PDE and stochastic versions”, Алгебра и анализ, 31:3 (2019), 154–169; St. Petersburg Math. J., 31:3 (2020), 509–520