Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations: A Revisit

Hongjie Dong, Seick Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)


Under various conditions, we establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving Hölder semi-norms not with respect to all, but only with respect to some of the independent variables. A novelty of our results is that the coefficients are allowed to be merely measurable with respect to the other independent variables.

Original languageEnglish
Pages (from-to)2085-2136
Number of pages52
JournalInternational Mathematics Research Notices
Issue number7
Publication statusPublished - 2019 Apr


All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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