中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation

文献类型:期刊论文

作者Chen, L; Wang, GL; Lian, SZ
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2002-12-10
卷号186期号:2页码:558-571
关键词convex-monotone function generalized solution supporting plane
ISSN号0022-0396
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000179836900009
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/17471]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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