Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

DOI10.1016/j.jde.2010.08.019zbMath1207.47038arXiv0908.1170OpenAlexW2963308111MaRDI QIDQ615982

Alessandra Lunardi, Luca Lorenzi, Alessandro Zamboni

Publication date: 7 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1170

zbMATH Keywords

asymptotic behaviorinvariant measuresspectral gapunbounded coefficientscontraction semigroupnonautonomous PDEs

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05)

Related Items (12)

Compactness and Asymptotic Behavior in Nonautonomous Linear Parabolic Equations with Unbounded Coefficients in ℝ d ⋮ Pointwise gradient estimates for evolution operators associated with Kolmogorov operators ⋮ Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems ⋮ Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities ⋮ Mean ergodic theorems for bi-continuous semigroups ⋮ Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions ⋮ On the Dirichlet and Neumann evolution operators in \(\mathbb R_+^d\) ⋮ Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part ⋮ Evolution systems of measures and semigroup properties on evolving manifolds ⋮ Multiscale analysis of slow-fast neuronal learning models with noise ⋮ Hypercontractivity and Asymptotic Behavior in Nonautonomous Kolmogorov Equations ⋮ Strong convergence of solutions to nonautonomous Kolmogorov equations

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