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

Hongjie Dong, Seick Kim

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)2085-2136
Number of pages52
JournalInternational Mathematics Research Notices
Volume2019
Issue number7
DOIs
Publication statusPublished - 2019 Apr

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Schauder Estimates
Second Order Elliptic Equations
Parabolic Equation
Partial
Seminorm
Divergence
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations : A Revisit. / Dong, Hongjie; Kim, Seick.

In: International Mathematics Research Notices, Vol. 2019, No. 7, 04.2019, p. 2085-2136.

Research output: Contribution to journalArticle

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