Integrated Semigroups and Cauchy Problems with Non-dense Domain

Pierre Magal, Shigui Ruan

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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)
PublisherSpringer
Pages101-164
Number of pages64
DOIs
StatePublished - Jan 1 2018

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume201
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Fingerprint

Hille-Yosida Operator
Integrated Semigroups
Semigroup Theory
Mild Solution
Linear Operator
Cauchy Problem
State Space
Existence and Uniqueness

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Magal, P., & Ruan, S. (2018). Integrated Semigroups and Cauchy Problems with Non-dense Domain. In Applied Mathematical Sciences (Switzerland) (pp. 101-164). (Applied Mathematical Sciences (Switzerland); Vol. 201). Springer. https://doi.org/10.1007/978-3-030-01506-0_3

Integrated Semigroups and Cauchy Problems with Non-dense Domain. / Magal, Pierre; Ruan, Shigui.

Applied Mathematical Sciences (Switzerland). Springer, 2018. p. 101-164 (Applied Mathematical Sciences (Switzerland); Vol. 201).

Research output: Chapter in Book/Report/Conference proceedingChapter

Magal, P & Ruan, S 2018, Integrated Semigroups and Cauchy Problems with Non-dense Domain. in Applied Mathematical Sciences (Switzerland). Applied Mathematical Sciences (Switzerland), vol. 201, Springer, pp. 101-164. https://doi.org/10.1007/978-3-030-01506-0_3
Magal P, Ruan S. Integrated Semigroups and Cauchy Problems with Non-dense Domain. In Applied Mathematical Sciences (Switzerland). Springer. 2018. p. 101-164. (Applied Mathematical Sciences (Switzerland)). https://doi.org/10.1007/978-3-030-01506-0_3
Magal, Pierre ; Ruan, Shigui. / Integrated Semigroups and Cauchy Problems with Non-dense Domain. Applied Mathematical Sciences (Switzerland). Springer, 2018. pp. 101-164 (Applied Mathematical Sciences (Switzerland)).
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