74 citations · 128 across the 9 of their papers we have counts for
11 papers
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…
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…
Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation
Karen Yagdjian, Anahit Galstian
We present the fundamental solutions for the spin-1/2 fields propagating in the spacetimes with power type expansion/contraction and the fundamental solution of the Cauchy problem…
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…
The global existence of small self-interacting scalar field propagating in the contracting universe
Anahit Galstian, Karen Yagdjian
We present a condition on the self-interaction term that guaranties the existence of the global in time solution of the Cauchy problem for the semilinear Klein-Gordon equation in t…
Finite lifespan of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime
Anahit Galstian, Karen Yagdjian
We examine the solutions of the semilinear wave equation, and, in particular, of the model of quantum field theory in the curved space-time. More exactly, for we pro…