Abstract
Several pointwise estimates are proved for solutions of linear elliptic equations with measurable coefficients in smooth domains through the weighted Ldnorm 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.
Original language | English (US) |
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Pages (from-to) | 509-520 |
Number of pages | 12 |
Journal | St. Petersburg Mathematical Journal |
Volume | 31 |
Issue number | 3 |
DOIs | |
State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020 American Mathematical Society.
Keywords
- Aleksandrov estimates
- Elliptic equations
- Weights