scholarly journals A local Hopf lemma for solutions of the one dimensional heat equation

1997 ◽  
Vol 146 ◽  
pp. 1-12
Author(s):  
Noriaki Suzuki
Keyword(s):  
Heat Equation ◽  
Finite Order ◽  
Boundary Point ◽  
Local Minimum ◽  
Boundary Behavior ◽  
Lateral Boundary ◽  
Temperature Function ◽  
One Dimensional ◽  
The One

Abstract.The boundary behavior of solutions of the heat equation (temperature functions) is investigated. It is proved that a temperature function is identically equal to zero if it vanishes of finite order at some lateral boundary point where it attains a local minimum.

scholarly journals On the Reachable Set for the One-Dimensional Heat Equation

2018 ◽  
Vol 56 (3) ◽  
pp. 1692-1715 ◽  
Author(s):  
Jérémi Dardé ◽  
Sylvain Ervedoza
Keyword(s):  
Heat Equation ◽  
Reachable Set ◽  
One Dimensional ◽  
The One

The One-Dimensional Stationary Heat Equation

2016 ◽  
pp. 131-138
Author(s):  
Benjamin A. Stickler ◽  
Ewald Schachinger
Keyword(s):  
Heat Equation ◽  
One Dimensional ◽  
Stationary Heat ◽  
The One
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