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arxiv: math/0510405 · v2 · submitted 2005-10-19 · 🧮 math.AP

The C^(a) regularity of a class of ultraparabolic equations

Liqun Zhang This is my paper
classification 🧮 math.AP
keywords regularityalphaclassresultsultraparaboliccasescoefficientsdimensional
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We prove the $C^{\alpha}$ regularity for weak solutions to a class of ultraparabolic equation, with measurable coefficients. The results generalized our recent $C^{\alpha}$ regularity results of Prandtl's system to high dimensional cases.

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  1. Global Well-posedness and Regularity of the Dynamical Prandtl Equation

    math.AP 2026-06 unverdicted novelty 7.0

    Establishes global well-posedness and smoothness for classical solutions of the dynamical Prandtl equation under monotonicity via new Holder and hypoelliptic regularity estimates in Crocco coordinates.