scholarly journals Unique Continuation at the Boundary for Harmonic Functions in C 1 Domains and Lipschitz Domains with Small Constant

2021 ◽  
Author(s):  
Xavier Tolsa
Keyword(s):  
Harmonic Functions ◽  
Unique Continuation ◽  
Lipschitz Domains ◽  
Small Constant

Unique continuation on a line for harmonic functions

1998 ◽  
Vol 14 (4) ◽  
pp. 869-882 ◽  
Author(s):  
Jin Cheng ◽  
Masahiro Yamamoto
Keyword(s):  
Harmonic Functions ◽  
Unique Continuation

THE UNIQUE CONTINUATION PROPERTY OF -HARMONIC FUNCTIONS ON THE HEISENBERG GROUP

2018 ◽  
Vol 99 (2) ◽  
pp. 219-230 ◽  
Author(s):  
HAIRONG LIU ◽  
FANG LIU ◽  
HUI WU
Keyword(s):  
Heisenberg Group ◽  
Laplace Equation ◽  
Harmonic Functions ◽  
Unique Continuation ◽  
Frequency Function ◽  
Unique Continuation Property ◽  
Continuation Property

We introduce an Almgren frequency function of the sub-$p$-Laplace equation on the Heisenberg group to establish a doubling estimate under the assumption that the frequency function is locally bounded. From this, we obtain some partial results on unique continuation for the sub-$p$-Laplace equation.

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