TY  - BOOK
A1  - Galstian, Anahit
A1  - Yagdjian, Karen
T1  - Exponential function of pseudo-differential operators
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 13
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Yagdjian, Karen
T1  - Geometric optics for the nonlinear hyperbolic systems of kirchhoff-type
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2001
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Yagdjian, Karen
A1  - Galstian, Anahit
T1  - Fundamental solutions for Wave Equation in de Sitter Model of Universe
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2007
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Yagdjian, Karen
A1  - Galstian, Anahit
T1  - Fundamental solutions for wave equation in de Sitter model of universe
N2  - In this article we construct the fundamental solutions for the wave equation arising in the de Sitter model of the universe. We use the fundamental solutions to represent solutions of the Cauchy problem and to prove the Lp − Lq-decay estimates for the solutions of the equation with and without a source term.
T3  - Preprint - (2007) 06 
KW  - de Sitter model ; Fundamental solutions ; Decay estimates
Y1  - 2007
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30271
ER  - 
TY  - INPR
A1  - Yagdjian, Karen
T1  - Geometric optics for the nonlinear hyperbolic systems of Kirchhoff-type
N2  - Contents: 1 Introduction 2 Main result 3 Construction of the asymptotic solutions 3.1 Derivation of the equations for the profiles 3.2 Exsistence of the principal profile 3.3 Determination of Usub(2) and the remaining profiles 4 Stability of the samll global solutions. Justification of One Phase Nonlinear Geometric Optics for the Kirchhoff-type equations 4.1 Stability of the global solutions to the Kirchhoff-type symmetric hyperbolic systems 4.2 The nonlinear system of ordinary differential equations with the parameter 4.3 Some energies estimates 4.4 The dependence of the solution W(t, ξ) on the function s(t) 4.5 The oscillatory integrals of the bilinear forms of the solutions 4.6 Estimates for the basic bilinear form Γsub(s)(t) 4.7 Contraction mapping 4.8 Stability of the global solution 4.9 Justification of One Phase Nonlinear Geometric Optics for the Kirchhoff-type equations
T3  - Preprint - (2001) 22 
Y1  - 2001
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26059
ER  - 
TY  - INPR
A1  - Galstian, Anahit
A1  - Yagdjian, Karen
T1  - Exponential function of pseudo-differential operators
N2  - The paper is devoted to the construction of the exponential function of a matrix pseudo-differential operator which do not satisfy any of the known theorems (see, Sec.8 Ch.VIII and Sec.2 Ch.XI of [17]). The applications to the construction of the fundamental solution for the Cauchy problem for the hyperbolic operators with the characteristics of variable multiplicity are given, too.
T3  - Preprint - (1997) 13 
KW  - pseudodifferential operators
KW  - exponential function
KW  - Gevrey classes
KW  - hyperbolic operators
KW  - multiple characteristics
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24982
ER  -