We examine the solutions of the semilinear wave equation, and, in particular, of the φq model of quantum field theory in the curved space-time. More exactly, for 1 < q < 4 we prove that the solution of the massless self-interacting scalar field equation in the Einstein-de Sitter universe has finite lifespan.
Galstyan, Anahit and Yagdjian, Karen, "Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime" (2020). Mathematical and Statistical Sciences Faculty Publications and Presentations. 79.
Reviews in Mathematical Physics