Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaître-Robertson-Walker spacetimes

2025/05/24 by Makoto Nakamura, Nakamura, Makoto, Takuma Yoshizumi +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2505.18633

openalex publication_date 2025/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms are considered in Friedmann-Lemaître-Robertson-Walker spacetimes. Effects of spatial expansion or contraction on the solutions are studied through the scale-function and the curved mass.

Citations

• Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaítre-Robertson-Walker spacetimes under finite speed of propagation
• The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lemaître-Robertson-Walker spacetimes
• Strichartz estimates on asymptotically de Sitter spaces
• The semilinear Klein-Gordon equation in de Sitter spacetime

Related

• Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaítre-Robertson-Walker spacetimes under finite speed of propagation
• The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lemaître-Robertson-Walker spacetimes
• Global existence of solutions for semilinear wave equations in\n Friedmann-Lema ⁱtre-Robertson-Walker spacetime
• The semilinear Klein-Gordon equation in de Sitter spacetime
• Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes