Home

Education

Teaching

Curriculum Vitae

Publications

My country

Publications of Anahit Galstyan

PUBLISHED:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

.

 

 

 

 

 

 

 

 

 

 

 

 

 

15.        Lp - Lq decay estimates for the equation with exponentionally growing coefficient,

             Preprint 2001/24, ISSN 1437-739X,  Arbeitsgruppe ``Partielle   Differentialgleichungen und 

             Komplexe Analysis",  Institut für Mathematik, Uni Potsdam, 2001.

16.        Exponential Function of Pseudo-Differential Operators, Arbeitsgruppe  

             ``Partielle   Differentialgleichungen und Komplexe Analysis'', Institut für Mathematik,

             Universität Potsdam, Preprint 97/13, May, 1997 (with K. Yagdjian)

SUBMITED:

Preprints:

 

1.

Fundamental Solutions for Wave Equation in Robertson-Walker Model of Universe and Lp-Lq -decay Estimates, Discrete and Continuous Dynamical Systems-S2(2009),  pp. 483 – 502, (with K.Yagdjian, UTPA)

 

2.

The Klein-Gordon Equation in the Anti-de Sitter Spacetime, Rendiconti del Seminario Matematico dell’ Universita’ e del Politecnico di Torino,  25 pages, accepted, (with K. Yagdjian, UTPA).

 

3.

Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime, Communications in Mathematical Physics, 285(2009), 293-344, (with K. Yagdjian, UTPA).

 

4.

Fundamental solutions of the wave equation in Robertson–Walker spaces, Journal of Mathematical Analysis and Applications 346 (2008), 501-520, (with K. Yagdjian, UTPA).

 

5.

Global existence for the one-dimensional second order semilinear hyperbolic equations, Journal of Mathematical Analysis and Applications, 344 (2008),  pp. 76–98.

 

6.

About the existence of the global solution for one dimensional semilinear Gellerstedt-type  equation, International Journal Dynamics of Continuous, Discrete and Impulsive Systems,  Vol. 14 (2007), pp 107-111.

7.

Fundamental solutions for the wave equation in  de Sitter model of universe,  University Potsdam, Potsdam, GermanyISSN 1437-739X,  2007,pp.1-36. (with K. Yagdjian, UTPA).

8.

Global Existence for the semilinear Tricomi-type equations,  Proceedings of the MSRI, Berkeley, 2006.

9.

On the oscillations of the solution curve for a class semilinear equations, Journal of Mathematical Analysis and Applications, v. 321, (2006), pp. 576-588 (with  P. Korman,

University of Cincinnati and Y. Li, University of Iowa).

10.

Lp-Lq decay estimates for the wave equation with exponentially growing speed

propagation,    Applicable Analysis, 2003, v.82, no. 3, 197-214.

11.

On deconvolution methods, International Journal of Engineering Science, 2003, v. 41, no. 1, 31-43. (with A.G. Ramm, Kansas State University, USA).

12.

$L_p - L_q$ decay estimates for a Klein-Gordon type model equation, Proceedings of the Second   Congress ISAAC, Fukuoka, Japan,1999; Kluwer Publisher, 2000 (with M.Reissig, TU  Bergakademie Freiberg, Germany).

 

13.

An integral equation of Volterra type with pseudo-differential kernel, in the book "Differential equations and functional analysis", Yerevan State University Press, Yerevan 1993.

 

14.

A solution of  integral equation with pseudo-differential kernel, Dokl.Acad. Nauk Armenii

1992, v.93, no.5, 207-211.

15.

Uniqueness of the solution of the Cauchy problem for degenerating elliptic equation;

(Russian); Differencial'nye Uravnenija, 1990, v.26, no.10, 1818-1821(with K. Yagdjian).

 

16.

Uniqueness of the solution of the Cauchy problem for degenerating elliptic equation;

Soviet Journal of   Contemporary Mathematical Analysis, 1990, v.25, no.2, 85-90

(with K. Yagdjian)

17.

Uniqueness of solutions of the Cauchy problem for degenerating elliptic equations

(Russian);   Uspehi Mat. Nauk,  1989, v.44, no.4, 223 (with K. Yagdjian).

18.

A Note on Wave Equation   in Einstein & de Sitter  Spacetime, (with T. Kinoshita, University of Tsukuba, Japan and  K. Yagdjian, UTPA).

 

19.

Lp - Lq decay estimates for the equation with exponentionally growing coefficient, Preprint                   2001/24, Arbeitsgruppe ``Partielle   Differentialgleichungen und Komplexe Analysis", Institut für Mathematik, Uni Potsdam, 2001.

 

20.

Exponential Function of Pseudo-Differential Operators, Arbeitsgruppe  Partielle        Differentialgleichungen und Komplexe Analysis'', Institut für Mathematik, Uni Potsdam, Preprint 97/13, May, 1997.