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Using Aleksandrov reflection to estimate the location of the center of expansion
Author(s):
Yu-Chu
Lin;
Dong-Ho
Tsai
Journal:
Proc. Amer. Math. Soc.
138
(2010),
557-565.
MSC (2000):
Primary 35K15, 35K55
Posted:
September 30, 2009
MathSciNet review:
2557173
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Abstract:
We use the Aleksandrov reflection result of Chow and Gulliver to show that the center of expansion in expanding a given convex embedded closed curve  lies on a certain convex plane region interior to 
References:
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Additional Information:
Yu-Chu
Lin
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan
Email:
yclin@math.nthu.edu.tw
Dong-Ho
Tsai
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan
Email:
dhtsai@math.nthu.edu.tw
DOI:
10.1090/S0002-9939-09-10155-7
PII:
S 0002-9939(09)10155-7
Received by editor(s):
August 4, 2008
Posted:
September 30, 2009
Additional Notes:
The research of the second author was supported by NSC (grant number 95-2115-M-007-009) and the research center NCTS of Taiwan.
Communicated by:
Chuu-Lian Terng
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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