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.