The C^\a regularity of a class of ultraparabolic equations

2005/10/19 by Liqun Zhang, Zhang, Liqun
Engineering · Mathematics · #35K70 #49N60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0510405

openalex publication_date 2005/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the C^α regularity for weak solutions to a class of ultraparabolic equation, with measurable coefficients. The results generalized our recent C^α regularity results of Prandtl's system to high dimensional cases.

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