scholarly journals Some special boundary problems in the theory of harmonic functions

1913 ◽  
Vol 19 (5) ◽  
pp. 227-234 ◽  
Author(s):  
T. H. Gronwall
1995 ◽  
Vol 6 (5) ◽  
pp. 421-439 ◽  
Author(s):  
Yu. E. Hohlov ◽  
M. Reissig

In this paper, Hele-Shaw moving boundary problems with kinetic undercooling regularization are studied. By application of the nonlinear abstract Cauchy–Kovalevskaya theorem the local existence of analytic solutions is shown. Therefore we have to study the behaviour of the gradient of harmonic functions up to the boundary of the domain.


1979 ◽  
Vol 34 (6) ◽  
pp. 554-557 ◽  
Author(s):  
John W. Lounsbury ◽  
Michael P. Cook ◽  
Dianne S. Leader ◽  
Ghassan Rubeiz ◽  
Elizabeth P. Meares

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