Abstract
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 language | English |
|---|---|
| Pages (from-to) | 2085-2136 |
| Number of pages | 52 |
| Journal | International Mathematics Research Notices |
| Volume | 2019 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2019 Apr |
Bibliographical note
Funding Information:This work was partially supported by the NSF under agreements [DMS-1056737 and DMS-1600593
Publisher Copyright:
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All Science Journal Classification (ASJC) codes
- Mathematics(all)