scholarly journals On the Parabolic Boundary Harnack Principle

La Matematica ◽  
2021 ◽  
Author(s):  
Daniela De Silva ◽  
Ovidiu Savin
2009 ◽  
Vol 119 (5) ◽  
pp. 1601-1631 ◽  
Author(s):  
Panki Kim ◽  
Renming Song ◽  
Zoran Vondraček

1989 ◽  
Vol 12 (4) ◽  
pp. 735-739
Author(s):  
Enrique A. Gonzalez-Velasco

We consider a boundary value problem consisting of the one-dimensional parabolic equationgut=(hux)x+q, where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.


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