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The C~α regularity of a class of non-homogeneous ultraparabolic equations

The C~α regularity of a class of non-homogeneous ultraparabolic equations

作     者:WANG WenDong ZHANG LiQun 

作者机构:Institute of MathematicsAcademy of Mathematics and Systems ScienceHua Loo-Keng Key Laboratory of MathematicsChinese Academy of SciencesBeijing 100190China 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2009年第52卷第8期

页      面:1589-1606页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by National Natural Science Foundation of China (Grant No. 10325104) 

主  题:non-homogeneous ultraparabolic equations C α regularity Kruzhkov’s approaches 35K70 35D10 35B65 

摘      要:We obtain the Cα regularity for weak solutions of a class of non-homogeneous ultra- parabolic equation, with measurable coefficients. The result generalizes our recent Cα regularity results of homogeneous ultraparabolic equations.

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