Spectral decompositions and \(\mathbb{L}^2\)-operator norms of toy hypocoercive semi-groups

DOI10.3934/krm.2013.6.317zbMath1262.35134OpenAlexW2312247992MaRDI QIDQ1941522

Publication date: 13 March 2013

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2013.6.317

zbMATH Keywords

Ornstein-Uhlenbeck generator convergence to equilibrium spectral decompositions hypocoercive Markovian semi-groups kinetic evolution equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Diffusion processes (60J60) Ergodic theorems, spectral theory, Markov operators (37A30) Hypoelliptic equations (35H10)

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