An inequality concerning the growth bound of an evolution family and the norm of a convolution operator

DOI10.1007/s00233-016-9822-9OpenAlexW2509434184MaRDI QIDQ2362267

Donal O'Regan, Constantin Buşe, Olivia Saierli

Publication date: 7 July 2017

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

Full work available at URL: https://doi.org/10.1007/s00233-016-9822-9

zbMATH Keywords

uniform exponential stabilitygrowth boundsconvolution operator on function spacesexponentially bounded evolution families of operatorsone dimensional heat equation

Mathematics Subject Classification ID

Operator theory (47-XX)

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A weak integral condition and its connections with existence and uniqueness of solutions for some abstract Cauchy problems in Banach spaces

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