Partial Schauder estimates for second-order elliptic and parabolic equations

Hongjie Dong; Seick Kim

doi:10.1007/s00526-010-0348-9

Partial Schauder estimates for second-order elliptic and parabolic equations

Hongjie Dong, Seick Kim

Department of Mathematics

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

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	481-500
Number of pages	20
Journal	Calculus of Variations and Partial Differential Equations
Volume	40
Issue number	3
DOIs	https://doi.org/10.1007/s00526-010-0348-9
Publication status	Published - 2011

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "We establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving H{\"o}lder semi-norms not with respect to all, but only with respect to some of the independent variables.",

author = "Hongjie Dong and Seick Kim",

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doi = "10.1007/s00526-010-0348-9",

language = "English",

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AU - Kim, Seick

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JO - Calculus of Variations and Partial Differential Equations

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IS - 3

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Partial Schauder estimates for second-order elliptic and parabolic equations

Abstract

All Science Journal Classification (ASJC) codes

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