Nonautonomous Kolmogorov equations in the whole space: a survey on recent results

DOI10.3934/dcdss.2013.6.731zbMath1262.35116arXiv1210.8392OpenAlexW2962899301MaRDI QIDQ1942802

Luca Lorenzi

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.8392

zbMATH Keywords

unbounded coefficientsgradient estimatesSchauder estimatesevolution systems of measuresnonautonomous Ornstein-Uhlenbeck operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Initial value problems for second-order parabolic equations (35K15) Second-order parabolic equations (35K10) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (5)

On a \(L^{\infty}\) functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity ⋮ Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions ⋮ 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 ⋮ Existence results for Isaacs equations with local conditions and related semilinear Cauchy problems

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