THE C-alpha REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS
文献类型:期刊论文
作者 | Wang, Wendong; Zhang, Liqun![]() |
刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
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出版日期 | 2011-03-10 |
卷号 | 29期号:3页码:1261-1275 |
关键词 | Hypoelliptic ultraparabolic C-alpha regularity |
ISSN号 | 1078-0947 |
DOI | 10.3934/dcds.2011.29.1261 |
英文摘要 | 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. |
资助项目 | Chinese NSF[10325104] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000284619800028 |
出版者 | AMER INST MATHEMATICAL SCIENCES |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11498] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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