Asymptotic behaviour of parabolic problems with delays in the highest order derivatives

DOI10.1007/S00233-004-0123-3zbMath1074.34074OpenAlexW1986804896WikidataQ58044341 ScholiaQ58044341MaRDI QIDQ1764613

Roland Schnaubelt, András Bátkai

Publication date: 25 February 2005

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

Full work available at URL: https://doi.org/10.1007/s00233-004-0123-3

zbMATH Keywords

feedbackmaximal regularityFourier typepartial functional-differential equationexponential dichotomy and stabilityGearhart's spectral mapping theoremhistory function spaceWeis-Wrobel theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20)

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Dichotomy of linear partial differential equations of neutral type in Banach spaces ⋮ Well-posedness and stability of nonautonomous past systems with unbounded operators in the delay term

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