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arXiv · 0908.1170

Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

L. Lorenzi·A. Lunardi·A. Zamboni
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Abstract

We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in $\mathbb R\times \mathbb R^d$. 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 $u\mapsto {\cal A}(t) u - u_t$ in suitable $L^p$ spaces.

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L. Lorenzi, A. Lunardi, A. Zamboni. 2009-08-08. Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. https://arxiv.org/abs/0908.1170

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