THE C-alpha REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS

doi:10.3934/dcds.2011.29.1261

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	THE C-alpha REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS
	Wang, Wendong; Zhang, Liqun
	2011-03-10
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	29 期号:3 页码:1261-1275
摘要	We obtained the C-alpha continuity of weak solutions for a class of ultraparabolic equations with measurable coefficients of the form partial derivative(t) u = Sigma(m0)(i,j=1) X-i(a(ij)(x, t)X(j)u) + X(0)u. By choosing a new cut-off function, we simplified and generalized the earlier arguments and proved the C-alpha regularity of weak solutions for more general ultraparabolic equations.
关键词	Hypoelliptic ultraparabolic C-alpha regularity
DOI	10.3934/dcds.2011.29.1261
语种	英语
资助项目	Chinese NSF[10325104]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000284619800028
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11499
专题	数学所
通讯作者	Wang, Wendong
作者单位	Chinese Acad Sci, Acad Sinica, Hua Loo Keng Key Lab Math, Inst Math,AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Wendong,Zhang, Liqun. THE C-alpha REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2011,29(3):1261-1275.
APA	Wang, Wendong,&Zhang, Liqun.(2011).THE C-alpha REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,29(3),1261-1275.
MLA	Wang, Wendong,et al."THE C-alpha REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 29.3(2011):1261-1275.