On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

Abstract Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’s conjecture for the time derivative...

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Autores principales:	Kimitoshi Tsutaya, Yuta Wakasugi
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Wave equation Blow-up Lifespan FLRW spacetime Glassey’s conjecture Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/022f2797c9d1405e9193abe62c9e9ef0
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spelling	oai:doaj.org-article:022f2797c9d1405e9193abe62c9e9ef02021-11-21T12:07:17ZOn Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime10.1186/s13661-021-01571-01687-2770https://doaj.org/article/022f2797c9d1405e9193abe62c9e9ef02021-11-01T00:00:00Zhttps://doi.org/10.1186/s13661-021-01571-0https://doaj.org/toc/1687-2770Abstract Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’s conjecture for the time derivative nonlinearity. We also show blow-up results for the space derivative nonlinear term.Kimitoshi TsutayaYuta WakasugiSpringerOpenarticleWave equationBlow-upLifespanFLRW spacetimeGlassey’s conjectureAnalysisQA299.6-433ENBoundary Value Problems, Vol 2021, Iss 1, Pp 1-30 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Wave equation Blow-up Lifespan FLRW spacetime Glassey’s conjecture Analysis QA299.6-433
spellingShingle	Wave equation Blow-up Lifespan FLRW spacetime Glassey’s conjecture Analysis QA299.6-433 Kimitoshi Tsutaya Yuta Wakasugi On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
description	Abstract Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’s conjecture for the time derivative nonlinearity. We also show blow-up results for the space derivative nonlinear term.
format	article
author	Kimitoshi Tsutaya Yuta Wakasugi
author_facet	Kimitoshi Tsutaya Yuta Wakasugi
author_sort	Kimitoshi Tsutaya
title	On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
title_short	On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
title_full	On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
title_fullStr	On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
title_full_unstemmed	On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
title_sort	on glassey’s conjecture for semilinear wave equations in friedmann–lemaître–robertson–walker spacetime
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/022f2797c9d1405e9193abe62c9e9ef0
work_keys_str_mv	AT kimitoshitsutaya onglasseysconjectureforsemilinearwaveequationsinfriedmannlemaitrerobertsonwalkerspacetime AT yutawakasugi onglasseysconjectureforsemilinearwaveequationsinfriedmannlemaitrerobertsonwalkerspacetime
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On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

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