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

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

2008-04-28

arxiv.org/abs/0804.4358v2

Mathematics

Analysis of PDEs

23 pages

Scientific paper

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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