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Symmetry of solutions to parabolic Monge-Ampere equations
作者 ai, LM (Dai, Limei)
BOUNDARY VALUE PROBLEMS
文献号: 185
DOI: 10.1186/1687-2770-2013-185
出版年: AUG 20 2013
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摘要
In this paper, we study the parabolic Monge-Ampere equation
-u(t) det(D(2)u) = f(t, u) in Omega x (0, T].
Using the method of moving planes, we show that any parabolically convex solution is symmetric with respect to some hyperplane. We also give a counterexample in R-n x (0, T] and an example in a cylinder to illustrate the results.
关键词
作者关键词:parabolic Monge-Ampsre equations; symmetry; method of moving planes
KeyWords Plus:ELLIPTIC-EQUATIONS; MAXIMUM PRINCIPLE; REFLECTOR ANTENNA; DOMAINS; DESIGN
作者信息
通讯作者地址: Dai, LM (通讯作者)
Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China.
地址:
[ 1 ] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China
电子邮件地址:limeidai@yahoo.com.cn
基金资助致谢
基金资助机构 授权号
NNSFC
11201343
Shandong Province Young and Middle-Aged Scientists Research Awards Fund
BS2011SF025
Shandong Province Science and Technology Development Project
2011YD16002
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出版商
SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
类别 / 分类
研究方向:Mathematics
Web of Science 类别:Mathematics, Applied; Mathematics
文献信息
文献类型:Article
语种:English
入藏号: WOS:000334021900001
ISSN: 1687-2770
期刊信息
目录： Current Contents Connect®
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: AE5IT
Web of Science 核心合集中的 "引用的参考文献": 28
Web of Science 核心合集中的 "被引频次": 0 |
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