scientific article; zbMATH DE number 2217252

zbMath1170.35375MaRDI QIDQ5699173

Roland Schnaubelt, Metafune, Giorgio, Abdelaziz Rhandi, Jan W. Prüss

Publication date: 20 October 2005

Full work available at URL: https://eudml.org/doc/84478

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On operators with bounded imaginary powers in Banach spaces
• Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
• Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces
• Characterization of the domain of an elliptic operator of infinitely many variables in \(L^2(\mu)\) spaces
• Maximal \(L^p\) regularity for elliptic equations with unbounded coefficients
• On the closedness of the sum of two closed operators
• Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
• Regular densities of invariant measures in Hilbert spaces
• Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces
• On the Ornstein-Uhlenbeck operator in spaces of continuous functions
• Sobolev spaces over the Wiener space based on an Ornstein-Uhlenbeck operator
• Completely positive measures and Feller semigroups
• On perturbations of symmetric gaussian diffusions
• A theorem of the Dore-Venni type for noncommuting operators
• On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
• Stochastic Equations in Infinite Dimensions