Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients

DOI10.1016/j.jmaa.2010.12.029zbMath1233.47040arXiv1008.0560OpenAlexW2963327329MaRDI QIDQ2431212

Luciana Angiuli, Luca Lorenzi

Publication date: 11 April 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0560

zbMATH Keywords

compactnessinvariant subspacesunbounded coefficientsevolution operatorsnonautonomous second-order elliptic operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) General theory of partial differential operators (47F05) Transition functions, generators and resolvents (60J35) Second-order parabolic equations (35K10)

Related Items (10)

Generation results for vector-valued elliptic operators with unbounded coefficients in \(L^p\) spaces ⋮ Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems ⋮ Kernel Estimates for Nonautonomous Kolmogorov Equations with Potential Term ⋮ On improvement of summability properties in nonautonomous Kolmogorov equations ⋮ Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions ⋮ On a class of weakly coupled systems of elliptic operators with unbounded coefficients ⋮ On the Dirichlet and Neumann evolution operators in \(\mathbb R_+^d\) ⋮ A semi-linear backward parabolic Cauchy problem with unbounded coefficients of Hamilton-Jacobi-Bellman type and applications to optimal control ⋮ \(L^{p}\)-estimates for parabolic systems with unbounded coefficients coupled at zero and first order ⋮ Nonparametric estimation for interacting particle systems: McKean-Vlasov models

Cites Work

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• Fundamental solutions of parabolic differential equations and boundary value problems
• Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
• Invariant measures and maximal L ² regularity for nonautonomous Ornstein-Uhlenbeck equations
• Asymptotic behavior and hypercontractivity in non-autonomous Ornstein-Uhlenbeck equations
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• Compactness properties of Feller semigroups

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