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math.AP2025
Periodic propagation of singularities for heat equations with time delay
Gengsheng Wang, Huaiqiang Yu, Yubiao Zhang
This paper presents two remarkable phenomena associated with the heat equation with a time delay: namely, the propagation of singularities and periodicity. These are manifested thr…
math.AP2018
Asymptotic observability identity for the heat equation in R^d
Gengsheng Wang, Ming Wang, Yubiao Zhang
We build up an asymptotic observability identity for the heat equation in the whole space. It says that one can approximately recover a solution, through observing it over some cou…