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arXiv · 0804.4358

The $C^{\a}$ regularity of a class hypoelliptic ultraparabolic equations

Wendong Wang·Liqun Zhang
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Abstract

We obtained the $C^{\a}$ continuity for weak solutions of a class of ultraparabolic equations with measurable coefficients of the form ${\ptl_t u}= \sum_{i,j=1}^{m_0}X_i(a_{ij}(x,t)X_j u)+X_0 u$. The result is proved by simplifying and generalizing our earlier arguments for the $C^{\a}$ regularity of homogeneous ultraparabolic equations.

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Wendong Wang, Liqun Zhang. 2008-04-28. The $C^{\a}$ regularity of a class hypoelliptic ultraparabolic equations. https://doi.org/10.1007/s11425-009-0158-8

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