Waves in cosmological background with static Schwarzschild radius in the expanding universe-Reference-Cited by-同舟云学术

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

Published:2024-08-01 Issue:8 Volume:65 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Yagdjian Karen¹^ORCID

Affiliation:

1. School of Mathematical and Statistical Sciences, University of Texas RGV , 1201 W. University Drive, Edinburg, Texas 78539, USA

Abstract

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 universe.

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0166195/20106704/083503_1_5.0166195.pdf

Reference40 articles.

1. Morawetz estimate for linearized gravity in Schwarzschild;Ann. Henri Poincaré,2020

2. Équation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild;C. R. Acad. Sci. Paris Sér. I Math.,1993

3. Blow-up for the semilinear wave equation in the Schwarzschild metric;Differ. Integral Equ.,2006

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