Partial Schauder estimates for second-order elliptic and parabolic equations

2010/05/09 by Hongjie Dong, Seick Kim · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Divergence (linguistics) #Elliptic curve #Elliptic operator #Elliptic partial differential equation #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Parabolic partial differential equation #Partial differential equation #math.AP

paper · pdf · doi:10.1007/s00526-010-0348-9

published as Calc. Var. Partial Differential Equations, 40 (2011), no. 3-4, 481-500 · CVPDE, accepted (2010).

arxiv created 2010/05/09 · openalex publication_date 2010/06/28 · arxiv updated 2011/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Elliptic Partial Differential Equations of Second Order
• Second Order Parabolic Differential Equations

Cited by

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