On a generalization of the Keldysh theorem

1995 ◽  
Vol 2 (3) ◽  
pp. 291-297 ◽  
Author(s):  
G. Jaiani
Keyword(s):  
Keldysh Theorem

scholarly journals The generalization of the Keldysh theorem

1991 ◽  
Vol 162 (1) ◽  
pp. 7-12
Author(s):  
Milutin R Dostanić
Keyword(s):  
Keldysh Theorem

On a Generalization of the Keldysh Theorem

1995 ◽  
Vol 2 (3) ◽  
pp. 291-297
Author(s):  
G. Jaiani
Keyword(s):  
Elliptic Equation ◽  
Canonical Form ◽  
Second Order ◽  
Single Form ◽  
Order And Type ◽  
Keldysh Theorem

Abstract The Keldysh theorem for an elliptic equation with characteristic parabolic degeneration is generalized for the case of an elliptic equation of the second-order canonical form with order and type degeneration. The criteria under which the Dirichlet or Keldysh problems are correct are given in a one-sided neighborhood of the degeneration segment, enabling one to write the criteria in a single form. Moreover, some cases are pointed out in which it is even nessesary to give a criterion in the neighborhood because it is impossible to establish it on the segment of degeneracy of the equation.

scholarly journals Keldysh theorem in Bauer's axiomatic theory of harmonic functions

1974 ◽  
Vol 24 (1) ◽  
pp. 114-125 ◽  
Author(s):  
Jaroslav Lukeš
Keyword(s):  
Harmonic Functions ◽  
Axiomatic Theory ◽  
Keldysh Theorem
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