TY - GEN
T1 - Symmetry problems on stationary isothermic surfaces in euclidean spaces
AU - Sakaguchi, Shigeru
N1 - Funding Information:
This research was partially supported by the Grant-in-Aid for Challenging Exploratory Research ( 25610024) of Japan Society for the Promotion of Science. The author would like to thank the anonymous referees for their some valuable suggestions to improve the presentation and clarity in several points.
Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - Let S be a smooth hypersurface properly embedded in RN with N ≥ 3 and consider its tubular neighborhood N .We show that, if a heat flow over N with appropriate initial and boundary conditions has S as a stationary isothermic surface, then S must have some sort of symmetry.
AB - Let S be a smooth hypersurface properly embedded in RN with N ≥ 3 and consider its tubular neighborhood N .We show that, if a heat flow over N with appropriate initial and boundary conditions has S as a stationary isothermic surface, then S must have some sort of symmetry.
KW - Cauchy problem
KW - Heat equation
KW - Initial-boundary value problem
KW - Stationary isothermic surface
KW - Symmetry
KW - Tubular neighborhood
UR - http://www.scopus.com/inward/record.url?scp=84985026346&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84985026346&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-41538-3_13
DO - 10.1007/978-3-319-41538-3_13
M3 - Conference contribution
AN - SCOPUS:84985026346
SN - 9783319415369
T3 - Springer Proceedings in Mathematics and Statistics
SP - 231
EP - 239
BT - Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015
A2 - Nitsch, Carlo
A2 - Gazzola, Filippo
A2 - Ishige, Kazuhiro
A2 - Salani, Paolo
PB - Springer New York LLC
T2 - Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015
Y2 - 25 May 2015 through 29 May 2015
ER -