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Algebra i Analiz, 2019, Volume 31, Issue 3, Pages 154–169 (Mi aa1656)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Weighted Aleksandrov estimates: PDE and stochastic versions

N. V. Krylov

127 Vincent Hall, University of Minnesota, Minneapolis, MN, 55455
Full-text PDF (236 kB) Citations (1)
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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.
Keywords: weights, Aleksandrov estimates, elliptic equations.
Received: 24.09.2018
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 3, Pages 509–520
DOI: https://doi.org/10.1090/spmj/1611
Bibliographic databases:
Document Type: Article
MSC: 35J15, 35J60, 60H05
Language: English
Citation: N. V. Krylov, “Weighted Aleksandrov estimates: PDE and stochastic versions”, Algebra i Analiz, 31:3 (2019), 154–169; St. Petersburg Math. J., 31:3 (2020), 509–520
Citation in format AMSBIB
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\paper Weighted Aleksandrov estimates: PDE and stochastic versions
\jour Algebra i Analiz
\yr 2019
\vol 31
\issue 3
\pages 154--169
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\yr 2020
\vol 31
\issue 3
\pages 509--520
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:38
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