Symmetry problems on stationary isothermic surfaces in euclidean spaces

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationGeometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015
EditorsCarlo Nitsch, Filippo Gazzola, Kazuhiro Ishige, Paolo Salani
PublisherSpringer New York LLC
Pages231-239
Number of pages9
ISBN (Print)9783319415369
DOIs
Publication statusPublished - 2016 Jan 1
EventItalian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015 - Palinuro, Italy
Duration: 2015 May 252015 May 29

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume176
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherItalian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015
CountryItaly
CityPalinuro
Period15/5/2515/5/29

Keywords

  • Cauchy problem
  • Heat equation
  • Initial-boundary value problem
  • Stationary isothermic surface
  • Symmetry
  • Tubular neighborhood

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Sakaguchi, S. (2016). Symmetry problems on stationary isothermic surfaces in euclidean spaces. In C. Nitsch, F. Gazzola, K. Ishige, & P. Salani (Eds.), Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015 (pp. 231-239). (Springer Proceedings in Mathematics and Statistics; Vol. 176). Springer New York LLC. https://doi.org/10.1007/978-3-319-41538-3_13