Integrated semigroups

Hermann Kellerman, Matthias Georg Hieber

Research output: Contribution to journalArticle

215 Citations (Scopus)

Abstract

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
Volume84
Issue number1
DOIs
Publication statusPublished - 1989
Externally publishedYes

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Integrated Semigroups
Well-posedness
Linear Operator
Differential operator
Cauchy Problem
Banach space
Operator

ASJC Scopus subject areas

  • Analysis

Cite this

Integrated semigroups. / Kellerman, Hermann; Hieber, Matthias Georg.

In: Journal of Functional Analysis, Vol. 84, No. 1, 1989, p. 160-180.

Research output: Contribution to journalArticle

Kellerman, Hermann ; Hieber, Matthias Georg. / Integrated semigroups. In: Journal of Functional Analysis. 1989 ; Vol. 84, No. 1. pp. 160-180.
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