Yagdjian, Karen A novel integral transform approach to solving hyperbolic equations in the curved space-times. (English) Zbl 1469.35006 Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 513-523 (2021). MSC: 35A22 35C15 35L35 35Q05 35Q40 35Q75 PDFBibTeX XMLCite \textit{K. Yagdjian}, Adv. Stud. Pure Math. 85, 513--523 (2021; Zbl 1469.35006) Full Text: DOI
Galstian, Anahit; Yagdjian, Karen The global existence of small self-interacting scalar field propagating in the contracting universe. (English) Zbl 1436.35299 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 28, 24 p. (2020). MSC: 35Q85 35L71 35Q40 35Q75 83F05 PDFBibTeX XMLCite \textit{A. Galstian} and \textit{K. Yagdjian}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 28, 24 p. (2020; Zbl 1436.35299) Full Text: DOI arXiv
Balogh, Andras; Banda, Jacob; Yagdjian, Karen High-performance implementation of a Runge-Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime. (English) Zbl 1508.65084 Commun. Nonlinear Sci. Numer. Simul. 68, 15-30 (2019). MSC: 65L06 83C27 PDFBibTeX XMLCite \textit{A. Balogh} et al., Commun. Nonlinear Sci. Numer. Simul. 68, 15--30 (2019; Zbl 1508.65084) Full Text: DOI arXiv
Yagdjian, Karen Global existence of the self-interacting scalar field in the de Sitter universe. (English) Zbl 1414.35214 J. Math. Phys. 60, No. 5, 051503, 29 p. (2019). MSC: 35Q55 35Q41 81T20 81T10 81V22 PDFBibTeX XMLCite \textit{K. Yagdjian}, J. Math. Phys. 60, No. 5, 051503, 29 p. (2019; Zbl 1414.35214) Full Text: DOI arXiv
Yagdjian, Karen; Balogh, Andras The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential. (English) Zbl 1406.35077 J. Math. Anal. Appl. 465, No. 1, 403-422 (2018). MSC: 35B50 35L20 PDFBibTeX XMLCite \textit{K. Yagdjian} and \textit{A. Balogh}, J. Math. Anal. Appl. 465, No. 1, 403--422 (2018; Zbl 1406.35077) Full Text: DOI arXiv
Galstian, Anahit; Yagdjian, Karen Global in time existence of self-interacting scalar field in de Sitter spacetimes. (English) Zbl 1352.83005 Nonlinear Anal., Real World Appl. 34, 110-139 (2017). MSC: 83C15 83C05 53Z05 53C12 35Q75 35L05 PDFBibTeX XMLCite \textit{A. Galstian} and \textit{K. Yagdjian}, Nonlinear Anal., Real World Appl. 34, 110--139 (2017; Zbl 1352.83005) Full Text: DOI arXiv
Yagdjian, Karen Integral transform approach to time-dependent partial differential equations. (English) Zbl 1391.35013 Qian, Tao (ed.) et al., Mathematical analysis, probability and applications – plenary lectures. ISAAC congress, August 3–8, 2015, Macau, China. Cham: Springer (ISBN 978-3-319-41943-5/hbk; 978-3-319-41945-9/ebook). Springer Proceedings in Mathematics & Statistics 177, 281-336 (2016). MSC: 35A22 35C15 35Q75 35Q05 83F05 76H05 83C57 PDFBibTeX XMLCite \textit{K. Yagdjian}, Springer Proc. Math. Stat. 177, 281--336 (2016; Zbl 1391.35013) Full Text: DOI
Yagdjian, Karen Integral transform approach to solving Klein-Gordon equation with variable coefficients. (English) Zbl 1332.35071 Math. Nachr. 288, No. 17-18, 2129-2152 (2015). MSC: 35C15 83F05 35L15 35A22 PDFBibTeX XMLCite \textit{K. Yagdjian}, Math. Nachr. 288, No. 17--18, 2129--2152 (2015; Zbl 1332.35071) Full Text: DOI arXiv
Yagdjian, Karen Huygens’ principle for the Klein-Gordon equation in the de Sitter spacetime. (English) Zbl 1284.81125 J. Math. Phys. 54, No. 9, 091503, 18 p. (2013). MSC: 81Q05 81Q35 PDFBibTeX XMLCite \textit{K. Yagdjian}, J. Math. Phys. 54, No. 9, 091503, 18 p. (2013; Zbl 1284.81125) Full Text: DOI arXiv
Yagdjian, Karen Global solutions of semilinear system of Klein-Gordon equations in de Sitter spacetime. (English) Zbl 1278.35149 Reissig, Michael (ed.) et al., Progress in partial differential equations. Asymptotic profiles, regularity and well-posedness. Based on the presentations given at a session at the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Cham: Springer (ISBN 978-3-319-00124-1/hbk; 978-3-319-00125-8/ebook). Springer Proceedings in Mathematics & Statistics 44, 409-444 (2013). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L52 35L71 81T20 35C15 PDFBibTeX XMLCite \textit{K. Yagdjian}, Springer Proc. Math. Stat. 44, 409--444 (2013; Zbl 1278.35149) Full Text: DOI
Yagdjian, Karen Global existence of the scalar field in de Sitter spacetime. (English) Zbl 1252.83020 J. Math. Anal. Appl. 396, No. 1, 323-344 (2012). MSC: 83C05 53Z05 83C15 35L05 83C25 83A05 83C40 PDFBibTeX XMLCite \textit{K. Yagdjian}, J. Math. Anal. Appl. 396, No. 1, 323--344 (2012; Zbl 1252.83020) Full Text: DOI
Yagdjian, Karen On the global solutions of the Higgs boson equation. (English) Zbl 1242.35203 Commun. Partial Differ. Equations 37, No. 1-3, 447-478 (2012). MSC: 35Q75 35L71 35B05 35B40 35D30 PDFBibTeX XMLCite \textit{K. Yagdjian}, Commun. Partial Differ. Equations 37, No. 1--3, 447--478 (2012; Zbl 1242.35203) Full Text: DOI arXiv