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20072026
most citedFundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime

74 citations · 200 across the 25 of their papers we have counts for

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math.AP2025

Spherical solutions to the Klein-Gordon equation in the expanding universe

Karen Yagdjian

We produce an explicit formula for the wave function of the spherically symmetric fields emitted to the FLRW universe with the scale factor generated by the de~Sitter universe. As…

math.AP2024

Semilinear Klein-Gordon equation in space-time of black hole, which is gaining mass in the universe with accelerating expansion

Karen Yagdjian, Anahit Galstian

In this paper, we consider the propagation of waves in the space-time of a single black hole with a static Schwarzschild radius in the expanding universe, namely, the solutions of…

math.AP2023★ 2 cited

Waves in cosmological background with static Schwarzschild radius in the expanding universe

Karen Yagdjian

In this paper, we prove the existence of global in time small data solutions of semilinear Klein-Gordon equations in space-time with a static Schwarzschild radius in the expanding…

math.AP2021

The self-interacting Dirac fields in FLRW spacetime

Anahit Galstian, Karen Yagdjian

We prove the existence of global in time solution with the small initial data for the semilinear equation of the spin-1/2 particles in the Friedmann-Lemaitre-Robertson-Walker space…

math.AP2020

Small Data Wave Maps in Cyclic Spacetime

Karen Yagdjian, Anahit Galstian, Nathalie M. Luna-Rivera

We study the initial value problem for the wave maps defined on the cyclic spacetime with the target Riemannian manifold that is responsive (see definition of the self coherence st…

math.AP2018

Computational Results for the Higgs Boson Equation in the de Sitter Spacetime

Andras Balogh, Jacob Banda, Karen Yagdjian

High performance computations are presented for the Higgs Boson Equation in the de Sitter Space- time using explicit fourth order Runge-Kutta scheme on the temporal discretization…