Schauder Type Estimates for a Class of Hypoelliptic Operators

2018/05/31 by Chengyang Shao, Shao, Chengyang
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.1805.12283

Abstract

The present paper aims to generalize the Schauder estimate for a class of higher-order hypo-elliptic operators. The results in the present paper apply to parabolic equations of higher order and, for example, operators like ∂_t²-∂_x³. Generalization to systems is also directly obtained.

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