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

Mathematics – Analysis of PDEs

Scientific paper

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18 pages

Scientific paper

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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