scholarly journals Characterization of ellipsoids through an overdetermined boundary value problem of Monge–Ampère type

2014 ◽  
Vol 101 (6) ◽  
pp. 828-841 ◽  
Author(s):  
B. Brandolini ◽  
N. Gavitone ◽  
C. Nitsch ◽  
C. Trombetti
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Overdetermined Boundary Value Problem ◽  
Monge Ampere

Recovery of harmonic functions from partial boundary data respecting internal pointwise values

2017 ◽  
Vol 25 (2) ◽  
Author(s):  
Juliette Leblond ◽  
Dmitry Ponomarev
Keyword(s):  
Boundary Value Problem ◽  
Connected Domain ◽  
Harmonic Functions ◽  
Boundary Data ◽  
Boundary Value ◽  
Lipschitz Boundary ◽  
Simply Connected Domain ◽  
Simply Connected ◽  
Overdetermined Boundary Value Problem

Abstract We consider partially overdetermined boundary-value problem for Laplace PDE in a planar simply connected domain with Lipschitz boundary

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