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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