Compactness and Asymptotic Behavior in Nonautonomous Linear Parabolic Equations with Unbounded Coefficients in ℝ d

DOI10.1007/978-3-0348-0075-4_23zbMath1250.35035arXiv1006.1530OpenAlexW1593062040MaRDI QIDQ2909942

Alessandra Lunardi

Publication date: 7 September 2012

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1530

zbMATH Keywords

asymptotic behaviorFokker-Planck equationcompactnessevolution operatortime periodic unbounded coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Markov semigroups and applications to diffusion processes (47D07) Initial value problems for second-order parabolic equations (35K15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Viscosity solutions to PDEs (35D40)

Related Items (2)

Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients ⋮ On improvement of summability properties in nonautonomous Kolmogorov equations

Cites Work

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• Asymptotic behavior in time periodic parabolic problems with unbounded coefficients
• Bounded solutions for abstract time-periodic parabolic equations with nonconstant domains
• Geometric theory of semilinear parabolic equations
• Feller semigroups on \(\mathbb{R}^N\)
• Ornstein--Uhlenbeck operators with time periodic coefficients
• Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
• Compactness properties of Feller semigroups
• Real Analysis and Probability
• Analytic semigroups and optimal regularity in parabolic problems

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