Integrated Semigroups and Cauchy Problems with Non-dense Domain

Pierre Magal, Shigui Ruan

Research output: Chapter in Book/Report/Conference proceedingChapter


The goal of this chapter is to introduce the integrated semigroup theory and use it to investigate the existence and uniqueness of integrated (mild) solutions of the nonhomogeneous Cauchy problems when the domain of the linear operator A is not dense in the state space and A is not a Hille-Yosida operator.

Original languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages64
StatePublished - Jan 1 2018

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

ASJC Scopus subject areas

  • Applied Mathematics


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