Global solutions and finite time blow up for damped semilinear wave equations

F. Gazzola; Marco Squassina

doi:10.1016/j.anihpc.2005.02.007

Global solutions and finite time blow up for damped semilinear wave equations

F. Gazzola^*
, Marco Squassina

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

144 Citazioni (Scopus)

Abstract

A class of damped wave equations with superlinear source term is considered. It is shown that every global solution is uniformly bounded in the natural phase space. Global existence of solutions with initial data in the potential well is obtained. Finally, not only finite time blow up for solutions starting in the unstable set is proved, but also high energy initial data for\r\nwhich the solution blows up are constructed.

Lingua originale	Inglese
pagine (da-a)	185-207
Numero di pagine	23
Rivista	ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE
Volume	23
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1016/j.anihpc.2005.02.007
Stato di pubblicazione	Pubblicato - 2006

All Science Journal Classification (ASJC) codes

Analisi
Fisica Matematica
Matematica Applicata

Keywords

damped semilinear wave

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10.1016/j.anihpc.2005.02.007

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KW - damped semilinear wave

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Global solutions and finite time blow up for damped semilinear wave equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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