\(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators

DOI10.1016/j.jfa.2020.108807zbMath1454.35239OpenAlexW3092800682MaRDI QIDQ2215820

Roland Schnaubelt, Simona Fornaro, Metafune, Giorgio, Pallara, Diego

Publication date: 14 December 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2020.108807

zbMATH Keywords

Ornstein-Uhlenbeck operatorspectrum of the drift term

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70)

Related Items (5)

Poisson process and sharp constants in $L^p$ and Schauder estimates for a class of degenerate Kolmogorov operators ⋮ On exponential splitting methods for semilinear abstract Cauchy problems ⋮ Cauchy problem of stochastic kinetic equations ⋮ On generators of transition semigroups associated to semilinear stochastic partial differential equations ⋮ Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation

Cites Work

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• Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators
• Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures
• Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
• Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
• Symmetric Ornstein-Uhlenbeck semigroups and their generators
• On the Ornstein-Uhlenbeck operator in spaces of continuous functions
• Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups
• A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\)
• Hypoelliptic second order differential equations
• L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle
• Matrix Analysis
• One-Parameter Semigroups for Linear Evolution Equations
• Ergodicity for Infinite Dimensional Systems
• On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
• Generalized Ornstein-Uhlenbeck semigroups: Littlewood-Paley-Stein inequalities and the P. A. Meyer equivalence of norms

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