The Hölder continuity of a class of 3-dimension ultraparabolic equations

Details The Hölder continuity of a class of 3-dimension ultraparabolic equations The Hölder continuity of a class of 3-dimension ultraparabolic equations

2008-08-29

arxiv.org/abs/0808.4019v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

We obtained the $C^{\a}$ continuity for weak solutions of a class of
ultraparabolic equations with measurable coefficients of the form $${\ptl_t u}=
\ptl_x(a(x,y,t)\ptl_x u)+b_0(x,y,t)\ptl_x u+b(x,y,t)\ptl_y u,$$ which
generalized our recent results on KFP equations.

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