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

Hongjie Dong; Seick Kim

doi:10.1093/imrn/rnx180

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

Hongjie Dong, Seick Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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	https://doi.org/10.1093/imrn/rnx180
Publication status	Published - 2019 Apr

Bibliographical note

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© 2017 The Author(s) 2017. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnx180

Cite this

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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