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

Marco Squassina, Filippo Gazzola

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer 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 which the solution blows up are constructed.
Lingua originaleEnglish
pagine (da-a)185-207
Numero di pagine23
RivistaANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE
Volume23
Stato di pubblicazionePubblicato - 2006

Keywords

  • damped semilinear wave

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