Galstian, Anahit; Yagdjian, Karen The self-interacting Dirac fields in FLRW spacetime. (English) Zbl 1496.35336 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 5, Paper No. 62, 33 p. (2022). MSC: 35Q41 35Q75 35L45 35J60 83C60 83F05 35A01 PDFBibTeX XMLCite \textit{A. Galstian} and \textit{K. Yagdjian}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 5, Paper No. 62, 33 p. (2022; Zbl 1496.35336) Full Text: DOI arXiv
Galstian, Anahit; Yagdjian, Karen Finite lifespan of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime. (English) Zbl 1460.35221 Rev. Math. Phys. 32, No. 7, Article ID 2050018, 31 p. (2020). Reviewer: Michael Reissig (Freiberg) MSC: 35L15 35L71 35B33 35B44 35L81 PDFBibTeX XMLCite \textit{A. Galstian} and \textit{K. Yagdjian}, Rev. Math. Phys. 32, No. 7, Article ID 2050018, 31 p. (2020; Zbl 1460.35221) Full Text: DOI arXiv
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
Yagdjian, Karen; Balogh, Andras The maximum principle and sign-changing solutions of the Klein-Gordon equation with the Higgs potential in the de Sitter spacetime. (English) Zbl 1426.35053 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 379-388 (2019). MSC: 35B50 35L71 PDFBibTeX XMLCite \textit{K. Yagdjian} and \textit{A. Balogh}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 379--388 (2019; Zbl 1426.35053) Full Text: DOI arXiv
Galstian, Anahit; Yagdjian, Karen The self-interacting scalar field propagating in FLRW model of the contracting universe. (English) Zbl 1426.35163 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 315-323 (2019). MSC: 35L71 35L15 35B44 PDFBibTeX XMLCite \textit{A. Galstian} and \textit{K. Yagdjian}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 315--323 (2019; Zbl 1426.35163) Full Text: DOI
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 solutions for semilinear Klein-Gordon equations in FLRW spacetimes. (English) Zbl 1304.35425 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 339-356 (2015). MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{A. Galstian} and \textit{K. Yagdjian}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 339--356 (2015; Zbl 1304.35425) Full Text: DOI arXiv
Yagdjian, Karen Semilinear hyperbolic equations in curved spacetime. (English) Zbl 1320.35224 Ruzhansky, Michael (ed.) et al., Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25–29, 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-02549-0/hbk; 978-3-319-02550-6/ebook). Trends in Mathematics, 391-415 (2014). MSC: 35L71 35L52 81T20 35C15 PDFBibTeX XMLCite \textit{K. Yagdjian}, in: Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012. Cham: Birkhäuser/Springer. 391--415 (2014; Zbl 1320.35224) Full Text: DOI arXiv
Nishitani, Tatsuo; Yagdjian, Karen Parametric resonance in wave maps. (English) Zbl 1310.35159 Funkc. Ekvacioj, Ser. Int. 57, No. 3, 351-374 (2014). MSC: 35L52 35L15 58J45 35B10 35L71 85A40 PDFBibTeX XMLCite \textit{T. Nishitani} and \textit{K. Yagdjian}, Funkc. Ekvacioj, Ser. Int. 57, No. 3, 351--374 (2014; Zbl 1310.35159) 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 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
Yagdjian, Karen The semilinear Klein-Gordon equation in de Sitter spacetime. (English) Zbl 1194.35271 Discrete Contin. Dyn. Syst., Ser. S 2, No. 3, 679-696 (2009). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35L71 35Q40 35Q75 35B44 35L15 PDFBibTeX XMLCite \textit{K. Yagdjian}, Discrete Contin. Dyn. Syst., Ser. S 2, No. 3, 679--696 (2009; Zbl 1194.35271) Full Text: DOI arXiv
Yagdjian, Karen The self-similar solutions of the one-dimensional semilinear Tricomi-type equations. (English) Zbl 1120.35073 J. Differ. Equations 236, No. 1, 82-115 (2007). Reviewer: Michael Reissig (Freiberg) MSC: 35M10 35L15 35L80 PDFBibTeX XMLCite \textit{K. Yagdjian}, J. Differ. Equations 236, No. 1, 82--115 (2007; Zbl 1120.35073) Full Text: DOI