### Abstract

The aim of this chapter is to introduce the basic concepts and results about semigroups, resolvents, and infinitesimal generators for linear operators and to present the Hille-Yosida theorem for strongly continuous semigroups.

Original language | English (US) |
---|---|

Title of host publication | Applied Mathematical Sciences (Switzerland) |

Publisher | Springer |

Pages | 57-99 |

Number of pages | 43 |

DOIs | |

State | Published - Jan 1 2018 |

Externally published | Yes |

### Publication series

Name | Applied Mathematical Sciences (Switzerland) |
---|---|

Volume | 201 |

ISSN (Print) | 0066-5452 |

ISSN (Electronic) | 2196-968X |

### Fingerprint

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences (Switzerland)*(pp. 57-99). (Applied Mathematical Sciences (Switzerland); Vol. 201). Springer. https://doi.org/10.1007/978-3-030-01506-0_2

**Semigroups and Hille-Yosida Theorem.** / Magal, Pierre; Ruan, Shigui.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Applied Mathematical Sciences (Switzerland).*Applied Mathematical Sciences (Switzerland), vol. 201, Springer, pp. 57-99. https://doi.org/10.1007/978-3-030-01506-0_2

}

TY - CHAP

T1 - Semigroups and Hille-Yosida Theorem

AU - Magal, Pierre

AU - Ruan, Shigui

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The aim of this chapter is to introduce the basic concepts and results about semigroups, resolvents, and infinitesimal generators for linear operators and to present the Hille-Yosida theorem for strongly continuous semigroups.

AB - The aim of this chapter is to introduce the basic concepts and results about semigroups, resolvents, and infinitesimal generators for linear operators and to present the Hille-Yosida theorem for strongly continuous semigroups.

UR - http://www.scopus.com/inward/record.url?scp=85068104336&partnerID=8YFLogxK

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U2 - 10.1007/978-3-030-01506-0_2

DO - 10.1007/978-3-030-01506-0_2

M3 - Chapter

T3 - Applied Mathematical Sciences (Switzerland)

SP - 57

EP - 99

BT - Applied Mathematical Sciences (Switzerland)

PB - Springer

ER -