On the evolution equation with a dynamic Hardy-type potential

Motivated by the celebrated paper of Baras and Goldstein (Trans Am Math Soc 284:121–139, 1984), we study the heat equation with a dynamic Hardy-type singular potential. In particular, we are interested in the case where the singular point moves in time. Under appropriate conditions on the potential...

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Veröffentlicht in:	Journal of evolution equations 2021-06, Vol.21 (2), p.2141-2165
Hauptverfasser:	Chern, Jann-Long, Hwang, Gyeongha, Takahashi, Jin, Yanagida, Eiji
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Integral equations Mathematics Mathematics and Statistics Thermodynamics Upper bounds
Online-Zugang:	Volltext
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