@article{Kang2023, 
author = {Hyeonbae Kang and Shigeru Sakaguchi},
title = {A symmetry theorem in two-phase heat conductors},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {3},
pages = {1-7},
keywords = {heat diffusion equation, two-phase heat conductors, Cauchy problem, stationary isothermic surface, method of moving planes, transmission conditions},
url = {https://www.sciopen.com/article/10.3934/mine.2023061},
doi = {10.3934/mine.2023061},
abstract = {We consider the Cauchy problem for the heat diffusion equation in the whole Euclidean space consisting of two media with different constant conductivities, where initially one medium has temperature 0 and the other has temperature 1. Under the assumptions that one medium is bounded and the interface is of class        C          2      ,      α      , we show that if the interface is stationary isothermic, then it must be a sphere. The method of moving planes due to Serrin is directly utilized to prove the result.}
}