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Publications of Anahit Galstyan |
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PUBLISHED:
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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) |
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SUBMITED: |
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Preprints: |
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1. |
Fundamental Solutions for Wave Equation in Robertson-Walker Model of Universe and Lp-Lq -decay Estimates, Discrete and Continuous Dynamical Systems-S, 2(2009), pp. 483 – 502, (with K.Yagdjian, UTPA) |
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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). |
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3. |
Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime, Communications in Mathematical Physics, 285(2009), 293-344, (with K. Yagdjian, UTPA). |
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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). |
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5. |
Global existence for the one-dimensional second order semilinear hyperbolic equations, Journal of Mathematical Analysis and Applications, 344 (2008), pp. 76–98. |
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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. |
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7. |
Fundamental solutions for the wave equation in de Sitter model of universe, University Potsdam, Potsdam, Germany, ISSN 1437-739X, 2007,pp.1-36. (with K. Yagdjian, UTPA). |
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8. |
Global Existence for the semilinear Tricomi-type equations, Proceedings of the MSRI, Berkeley, 2006. |
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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). |
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10. |
Lp-Lq decay estimates for the wave equation with exponentially growing speed propagation, Applicable Analysis, 2003, v.82, no. 3, 197-214. |
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11. |
On deconvolution methods, International Journal of Engineering Science, 2003, v. 41, no. 1, 31-43. (with A.G. Ramm, Kansas State University, USA). |
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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). |
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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. |
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14. |
A solution of integral equation with pseudo-differential kernel, Dokl.Acad. Nauk Armenii 1992, v.93, no.5, 207-211. |
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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). |
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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) |
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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). |
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18. |
A Note on Wave Equation in Einstein & de Sitter Spacetime, (with T. Kinoshita, University of Tsukuba, Japan and K. Yagdjian, UTPA). |
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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. |
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20. |
Exponential Function of Pseudo-Differential Operators, Arbeitsgruppe Partielle Differentialgleichungen und Komplexe Analysis'', Institut für Mathematik, Uni Potsdam, Preprint 97/13, May, 1997. |