On the strongly damped wave equation

Marco Squassina, Vittorino Pata

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

99 Citazioni (Scopus)

Abstract

We prove the existence of the universal attractor for the strongly damped semilinear wave equation, in the presence of a quite general nonlinearity of critical growth. When the nonlinearity is subcritical, we prove the existence of an exponential attractor of optimal regularity, having a basin of attraction coinciding with the whole phase-space. As a byproduct, the universal attractor is regular and of finite fractal dimension. Moreover, we carry out a detailed analysis of the asymptotic behavior of the solutions in dependence of the damping coefficient.
Lingua originaleEnglish
pagine (da-a)511-533
Numero di pagine23
RivistaCommunications in Mathematical Physics
Volume253
Stato di pubblicazionePubblicato - 2005

Keywords

  • Strongly damped wave equations

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