A Priori Estimates for Fully Nonlinear Parabolic Equations

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 数学物理与应用研究部

	A Priori Estimates for Fully Nonlinear Parabolic Equations
	Tian, Guji 1; Wang, Xu-Jia 2
刊名	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
	2013
期号	17 页码:3857-3877
英文摘要	In this paper, we prove the Holder continuity of the second derivatives D-x(2) for fully nonlinear, uniformly parabolic equations. We assume the inhomogeneous term f is Holder continuous with respect to the spatial variables x and bounded and measurable with respect to the time t. As an application, we obtain higher regularity for curvature flows with volume constraints.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	MAXIMUM PRINCIPLE ; REGULARITY THEORY ; INTERIOR
收录类别	SCI
语种	英语
WOS记录号	WOS:000323637000001
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1023]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Australian Natl Univ, Ctr Math & Its Applicat, Canberra, ACT 0200, Australia
推荐引用方式 GB/T 7714	Tian, Guji,Wang, Xu-Jia. A Priori Estimates for Fully Nonlinear Parabolic Equations[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2013(17):3857-3877.
APA	Tian, Guji,&Wang, Xu-Jia.(2013).A Priori Estimates for Fully Nonlinear Parabolic Equations.INTERNATIONAL MATHEMATICS RESEARCH NOTICES(17),3857-3877.
MLA	Tian, Guji,et al."A Priori Estimates for Fully Nonlinear Parabolic Equations".INTERNATIONAL MATHEMATICS RESEARCH NOTICES .17(2013):3857-3877.