carleman formula
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scholarly journals Application of A-analytic Functions to the Investigation of the Cauchy Problem for a Stationary Poroelasticity System

2019 ◽  
Vol 65 (1) ◽  
pp. 33-43
Author(s):  
Kh Kh Imomnazarov ◽  
N M Jabborov
Keyword(s):  
Cauchy Problem ◽  
Closed System ◽  
Porous Body ◽  
Analytic Functions ◽  
Displacement Vector ◽  
Dynamic Equations ◽  
Stationary Case ◽  
Carleman Formula ◽  
Hydrodynamic Approximation ◽  
The Cauchy Problem

In a reversible hydrodynamic approximation, a closed system of second-order dynamic equations with respect to the displacement vector of an elastic porous body and pore pressure has been obtained. The Cauchy problem for the obtained system of poroelasticity equations in the stationary case is considered. The Carleman formula for the Cauchy problem under consideration has been constructed.

scholarly journals Carleman Formula for the Maxwell Equation in a Cap Type Domain

2019 ◽  
pp. 317-322
Author(s):  
Komil O. Makhmudov
Keyword(s):  
Cauchy Problem ◽  
Maxwell Equation ◽  
Maxwell Equations ◽  
Solvability Conditions ◽  
Carleman Formula

We consider a Cauchy problem for the Maxwell equations in a cap type domain X in R3. We find reasonable solvability conditions and a Carleman formula for its solution

scholarly journals RETRACTED ARTICLE: Some new results on the boundary behaviors of harmonic functions with integral boundary conditions

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Xiaozhen Xie ◽  
Costanza T Viouonu
Keyword(s):  
Boundary Conditions ◽  
Harmonic Functions ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Carleman Formula ◽  
Retracted Article ◽  
Boundary Behaviors

Abstract In this paper, using a generalized Carleman formula, we prove two new results on the boundary behaviors of harmonic functions with integral boundary conditions in a smooth cone, which generalize some recent results.

On a Carleman formula for lunes

2012 ◽  
Vol 57 (9) ◽  
pp. 967-970
Author(s):  
D. Fedchenko
Keyword(s):  
Carleman Formula

The Carleman formula for the Helmholtz equation on the plane

2006 ◽  
Vol 47 (3) ◽  
pp. 425-432 ◽  
Author(s):  
É. V. Arbuzov ◽  
A. L. Bukhgeim
Keyword(s):  
Helmholtz Equation ◽  
Carleman Formula

Conditionally stable linear problems and the Carleman formula

1991 ◽  
Vol 31 (6) ◽  
pp. 875-880
Author(s):  
L. A. Aizenberg ◽  
N. N. Tarkhanov
Keyword(s):  
Carleman Formula ◽  
Linear Problems ◽  
Stable Linear
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