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ISAAC 2019, Aveiro, Portugal, 2019 |
Recent Publications |
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1. |
The self-interacting scalar field propagating in FLRW model of the contracting universe. Analysis, Probability, Applications, and Computation , Trends in Mathematics, pp. 315-323, 2019. (co-author K.Yagdjian)
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2. |
Semilinear Shifted Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part. Springer Proceedings in Mathematics and Statistics, Theory, Numerics and Applications of Hyperbolic Problems (vol. 236, pp. 577-587). Springer International Publishing. (2018) |
3. |
“Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part”, Birkhauser series Trends in Mathematics/Research Prospectives, Springer International Publishing (2017) doi: 10.1007/978-3-319-48812-7-62. |
4 |
“Global in time existence of self-interacting scalar field in de Sitter spacetimes”, Nonlinear Analysis: Real World Applications 34, (2017), pp. 110-139 (co-author K. Yagdjian, UTRGV).
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5. |
“Global solutions for semilinear Klein-Gordon equation in FLRW spacetimes”, Nonlinear Analysis. Theory, Methods & Applications 113, 2015, 339-356 (co-author K. Yagdjian, UTPA). |
6. |
Representation of Solutions for 2nd Order One-dimensional Model Hyperbolic Equations, Journal d'Analyse Mathematique 130, pp. 355-374. (co-author T. Kinoshita, Japan) |
7. |
Microlocal analysis for hyperbolic equations in Einstein-de~Sitter Spacetime, Birkhauser series Trends in Mathematics/Research Prospectives, 2015, pp. 225-232 |
8. |
Microlocal Analysis for Waves Propagating in Einstein & de Sitter Spacetime, Mathematical Physics, Analysis and Geometry, 17 ( 2014), 223-246 (co-author K. Yagdjian, UTPA) |
9. |
Exponential function of pseudo-differential operators in Gevrey spaces, Journal of Integral Equations and Operator Theory, 70 (2011), 281-300. |
10. |
Lp - Lq decay estimates for the Klein-Gordon equation in Anti-de Sitter Spacetime, Rendiconti Istit. Matematico dell’ Universita’ e del Trieste, 42 (2010), 27-50. |
11. |
A Note on Wave Equation in Einstein & de Sitter Spacetime , Journal of Mathematical Physics, 51 (2010), 052501 -0525018. (co-authors T. Kinoshita, K. Yagdjian) |
12. |
The wave equation in the Einstein and de Sitter spacetime, , PROGRESS IN ANALYSIS AND ITS APPLICATIONS, edited by Michael Ruzhansky (Imperial College London, UK) & Jens Wirth (Imperial College London, UK) , Word Scientific, 2010 (co-authors T. Kinoshita, K. Yagdjian) |
13. |
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, (co-author K.Yagdjian) |
14. |
The Klein-Gordon Equation in the Anti-de Sitter Spacetime, Rendiconti del Seminario Matematico dell’ Universita’ e del Politecnico di Torino, 67(2009), pp. 271-292 , (co-author K. Yagdjian). |
15. |
Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime, Communications in Mathematical Physics, 285(2009), 293-344,. (co-author K. Yagdjian). |
16. |
Global existence for the one-dimensional second order semilinear hyperbolic equations, Journal of Mathematical Analysis and Applications, 344 (2008), pp. 76–98. |
17. |
Fundamental solutions of the wave equation in Robertson–Walker spaces, Journal of Mathematical Analysis and Applications, 346 (2008), 501-520. (co-author K. Yagdjian). |
18. |
About the existence of the global solution for one dimensional semilinear Gellerstedt-type equation, Journal Dynamics of Continuous, Discrete and Impulsive Systems A, Vol. 14 |
19. |
Fundamental solutions for the wave equation in de Sitter model of universe, Univeristy Potsdam, Potsdam, Germany, ISSN 1437-739X, 2007,pp.1-36. (co-author K. Yagdjian). |
20. |
Global Existence for the semilinear Tricomi-type equations, Proceedings of the MSRI, Berkeley, 2006 |
21. |
On the oscillations of the solution curve for a class semilinear equations, Journal of Mathematical Analysis and Applications, v. 321, (2006), pp. 576-588. (co-authors P. Korman, Y. Li). |