Global existence of solutions for semilinear wave equations in\n Friedmann-Lema ⁱtre-Robertson-Walker spacetime

2021/06/26 by Marcelo Rempel Ebert, Ebert, Marcelo Rempel, Jorge Marques +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2106.14023

openalex publication_date 2021/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the nonlinear massless wave equation belonging to some family of\nthe Friedmann-Lema ⁱtre-Robertson-Walker (FLRW) spacetime. We prove the global\nin time small data solutions for supercritical powers in the case of\ndecelerating expansion universe.\n

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