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Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

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 نشر من قبل Luca Lorenzi
 تاريخ النشر 2009
  مجال البحث
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We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in $mathbb Rtimes mathbb R^d$. Our results generalize and improve asymptotic behavior results for Markov semigroups having an invariant measure. We also study spectral properties of the realization of the parabolic operator $umapsto {cal A}(t) u - u_t$ in suitable $L^p$ spaces.



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