An extension of Kato's stability condition for nonautonomous Cauchy problems

DOI10.11650/TWJM/1500407019zbMath0927.47030OpenAlexW1918047133MaRDI QIDQ1282138

Gregor Nickel, Roland Schnaubelt

Publication date: 28 March 1999

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407019

zbMATH Keywords

wellposednessKato's stability conditionnonautonomous Cauchy problems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Related Items (6)

Improved energy estimates for a class of time-dependent perturbed Hamiltonians ⋮ Operator splitting for non-autonomous evolution equations ⋮ Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces ⋮ Adiabatic theorems for general linear operators with time-independent domains ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems ⋮ Well-posedness of non-autonomous linear evolution equations for generators whose commutators are scalar

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