Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation

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	Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation
	Chen, L ; Wang, GL ; Lian, SZ
	2002-12-10
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	186 期号:2 页码:558-571
摘要	In this paper, we study the generalized solution of the first initial boundary value problem for the parabolic Monge-Ampere equation u(1) det D(2)u - f(x,t) in in Q = Omega x (0, T], u = phi(x, t) on partial derivative(p)Q, We first get the Holder continuity of the generalized solution in t, and then obtain the generalized solution in case f (x, t) = 0, which improve the assumptions in the existence of generalized solution in (J. Partial Differential Equations 14(2) (2001) 149). (C) 2002 Elsevier Science (USA), All rights reserved.
关键词	convex-monotone function generalized solution supporting plane
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000179836900009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17472
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, L
作者单位	1.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Jilin Univ, Inst Math, Changchun 130023, Peoples R China
推荐引用方式 GB/T 7714	Chen, L,Wang, GL,Lian, SZ. Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,186(2):558-571.
APA	Chen, L,Wang, GL,&Lian, SZ.(2002).Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation.JOURNAL OF DIFFERENTIAL EQUATIONS,186(2),558-571.
MLA	Chen, L,et al."Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation".JOURNAL OF DIFFERENTIAL EQUATIONS 186.2(2002):558-571.