English

Weighted Aleksandrov estimates: PDE and stochastic versions

Analysis of PDEs 2018-09-20 v1 Probability
Authors: 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 LdL_{d} (Ld+1L_{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.

Keywords

Aleksandrov estimates elliptic equations parabolic equations measurable coefficients weighted norms diffusion processes

Cite

@article{arxiv.1809.07184,
  title  = {Weighted Aleksandrov estimates: PDE and stochastic versions},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:1809.07184},
  year   = {2018}
}

Comments

27 pages

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