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

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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 -