On the Ornstein Uhlenbeck operator perturbed by singular potentials in \(L^p\)-spaces

DOI10.3934/dcds.2013.33.5049zbMath1294.47058OpenAlexW2326355243MaRDI QIDQ379633

Simona Fornaro, Abdelaziz Rhandi

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.5049

zbMATH Keywords

Ornstein-Uhlenbeck operatorHardy's inequalitydissipative and dispersive operatorinverse square potentialpositivity preserving \(C_0\)-semigroup

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Ill-posed problems for PDEs (35R25) Initial value problems for second-order parabolic equations (35K15) Linear differential equations in abstract spaces (34G10)

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