Integrated semigroups

Hermann Kellerman*, Matthias Georg Hieber

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

252 Citations (Scopus)


The Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+f{hook}(t)u(0) = x for a (non-densely defined) linear operator A is treated with the help of the theory of integrated semigroups. New well-posedness results are obtained for differential operators and in particular the Schrödinger operator iΔ.

Original languageEnglish
Pages (from-to)160-180
Number of pages21
JournalJournal of Functional Analysis
Issue number1
Publication statusPublished - 1989
Externally publishedYes

ASJC Scopus subject areas

  • Analysis


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