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ÂÛÎÄÌâÄ¿£ºSymmetry of solutions to parabolic Monge-Amp¨¨re equations
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dlmzhw: ½ð±Ò+10 2014-06-04 14:21:10
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Symmetry of solutions to parabolic Monge-Ampere equations
×÷Õßai, LM (Dai, Limei)
BOUNDARY VALUE PROBLEMS
ÎÄÏ׺Å: 185
DOI: 10.1186/1687-2770-2013-185
³ö°æÄê: AUG 20 2013
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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.
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×÷Õ߹ؼü´Ê:parabolic Monge-Ampsre equations; symmetry; method of moving planes
KeyWords Plus:ELLIPTIC-EQUATIONS; MAXIMUM PRINCIPLE; REFLECTOR ANTENNA; DOMAINS; DESIGN
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ͨѶ×÷ÕßµØÖ·: Dai, LM (ͨѶ×÷Õß)
              Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China.
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              [ 1 ] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China
µç×ÓÓʼþµØÖ·:limeidai@yahoo.com.cn
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NNSFC        
11201343
Shandong Province Young and Middle-Aged Scientists Research Awards Fund        
BS2011SF025
Shandong Province Science and Technology Development Project        
2011YD16002
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
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SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied; Mathematics
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000334021900001
ISSN: 1687-2770
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 28
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
It's never too late.
2Â¥2014-06-04 10:46:17
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Èë²ØºÅ: WOS:000334021900001
It's never too late.
3Â¥2014-06-04 10:46:47
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dlmzhw

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ÒýÓûØÌû:
2Â¥: Originally posted by Á÷¹âÒÝÓ° at 2014-06-04 10:46:17
Symmetry of solutions to parabolic Monge-Ampere equations
×÷Õßai, LM (Dai, Limei)
BOUNDARY VALUE PROBLEMS
ÎÄÏ׺Å: 185
DOI: 10.1186/1687-2770-2013-185
³ö°æÄê: AUG 20 2013
²é¿´ÆÚ¿¯ÐÅÏ¢
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4Â¥2014-06-04 11:35:39
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believe in yourself

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4Â¥: Originally posted by dlmzhw at 2014-06-04 11:35:39
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It's never too late.
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