TY  - INPR
A1  - Makhmudov, O. I.
A1  - Niyozov, I. E.
T1  - The Cauchy problem for the Lame system in infinite domains in R up(m)
N2  - We consider the problem of analytic continuation of the solution of the multidimensional Lame system in infinite domains through known values of the solution and the corresponding strain tensor on a part of the boundary, i.e,the Cauchy problem.
T3  - Preprint - (2005) 20 
KW  - the Cauchy problem
KW  - system Lame
KW  - elliptic system
KW  - illposed problem
KW  - Carleman matrix
KW  - regularization
KW  - Laplace equation
Y1  - 2005
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29967
ER  - 
TY  - INPR
A1  - Dyachenko, Evgueniya
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Singular perturbations of elliptic operators
N2  - We develop a new approach to the analysis of pseudodifferential operators with small parameter 'epsilon' in (0,1] on a compact smooth manifold X. The standard approach assumes action of operators in Sobolev spaces whose norms depend on 'epsilon'. Instead we consider the cylinder [0,1] x X over X and study pseudodifferential operators on the cylinder which act, by the very nature, on functions depending on 'epsilon' as well. The action in 'epsilon' reduces to multiplication by functions of this variable and does not include any differentiation. As but one result we mention asymptotic of solutions to singular perturbation problems for small values of 'epsilon'.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 3 (2014) 1 
KW  - singular perturbation
KW  - pseudodifferential operator
KW  - ellipticity with parameter
KW  - regularization
KW  - asymptotics
Y1  - 2014
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-69502
SN  - 2193-6943
VL  - 3
IS  - 1
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Makhmudov, O. I.
A1  - Niyozov, I. E.
T1  - Regularization of the Cauchy Problem for the System of Elasticity Theory in R up (m)
N2  - In this paper we consider the regularization of the Cauchy problem for a system of second order differential equations with constant coefficients.
T3  - Preprint - (2005) 22 
KW  - the Cauchy problem
KW  - Lame system
KW  - elliptic system
KW  - ill-posed problem
KW  - Carleman matrix
KW  - regularization
KW  - Laplace equation
Y1  - 2005
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29983
ER  -