Hypercontractivity and Asymptotic Behavior in Nonautonomous Kolmogorov Equations

DOI10.1080/03605302.2013.840790zbMath1282.35052arXiv1203.1280OpenAlexW2044550762MaRDI QIDQ5746980

Luciana Angiuli, Luca Lorenzi, Alessandra Lunardi

Publication date: 11 February 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1280

zbMATH Keywords

logarithmic Sobolev inequalityunbounded coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (13)

Pointwise gradient estimates for evolution operators associated with Kolmogorov operators ⋮ Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems ⋮ Functional inequalities for some generalised Mehler semigroups ⋮ On improvement of summability properties in nonautonomous Kolmogorov equations ⋮ Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions ⋮ On the Dirichlet and Neumann evolution operators in \(\mathbb R_+^d\) ⋮ INVARIANT MEASURES FOR SYSTEMS OF KOLMOGOROV EQUATIONS ⋮ Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part ⋮ Evolution systems of measures and semigroup properties on evolving manifolds ⋮ \(L^{p}\)-estimates for parabolic systems with unbounded coefficients coupled at zero and first order ⋮ Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes ⋮ Strong convergence of solutions to nonautonomous Kolmogorov equations ⋮ Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behavior in time periodic parabolic problems with unbounded coefficients
• Cores for parabolic operators with unbounded coefficients
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Feller semigroups on \(\mathbb{R}^N\)
• Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
• ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
• Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
• Invariant measures and maximal L ² regularity for nonautonomous Ornstein-Uhlenbeck equations
• Logarithmic Sobolev Inequalities
• Dirichlet boundary conditions for elliptic operators with unbounded drift
• A character of the gradient estimate for diffusion semigroups
• Second order PDE's in finite and infinite dimension

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