An interpolation method to characterize domains of generators of semigroups

DOI10.1007/BF02574147zbMath0859.47030MaRDI QIDQ1815352

Alessandra Lunardi

Publication date: 10 November 1996

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135495

zbMATH Keywords

elliptic equationsparabolic equationsSchauder type theoremsdomain of generators of semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05)

Related Items (8)

Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces ⋮ Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations ⋮ On a class of weakly coupled systems of elliptic operators with unbounded coefficients ⋮ Unnamed Item ⋮ Optimal regularity results in spaces of Hölder continuous functions for some infinite dimensional Ornstein - Uhlenbeck semigroup ⋮ Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type ⋮ An identification problem for the Ornstein–Uhlenbeck operator ⋮ Unnamed Item

Cites Work

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• A Hille-Yosida theorem for weakly continuous semigroups
• Strong solutions of Cauchy problems associated to weakly continuous semigroups
• On the Ornstein-Uhlenbeck operator in spaces of continuous functions
• Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem
• Analytic semigroups and optimal regularity in parabolic problems

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