Generation of analytic semigroups by generalized Ornstein-Uhlenbeck operators with potentials

DOI10.1016/j.jmaa.2009.10.028zbMath1188.47034OpenAlexW2055803901MaRDI QIDQ847739

Takeshi Kojima, Tomomi Yokota

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.028

zbMATH Keywords

analytic semigroupOrnstein-Uhlenbeck operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Groups and semigroups of linear operators (47D03)

Related Items (6)

An \(L^p\)-theory for generalized Ornstein-Uhlenbeck operators with nonnegative singular potentials ⋮ Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds ⋮ A direct approach to generation of analytic semigroups by generalized Ornstein-Uhlenbeck operators in weighted \(L^p\) spaces ⋮ Generalized Ornstein-Uhlenbeck operators perturbed by multipolar inverse square potentials in \(L^2\)-spaces ⋮ A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\) ⋮ On the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials in weighted L²-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An \(L^ p\) theory for Schrödinger operators with nonnegative potentials
• Semigroups of linear operators and applications to partial differential equations
• Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
• Maximal \(L^p\) regularity for elliptic equations with unbounded coefficients
• \(L^p\)-regularity for elliptic operators with unbounded coefficients
• One-Parameter Semigroups for Linear Evolution Equations

This page was built for publication: Generation of analytic semigroups by generalized Ornstein-Uhlenbeck operators with potentials