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

Publisher | Springer |

Pages | 57-99 |

Number of pages | 43 |

DOIs | |

State | Published - Jan 1 2018 |

### Publication series

Name | Applied Mathematical Sciences (Switzerland) |
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Volume | 201 |

ISSN (Print) | 0066-5452 |

ISSN (Electronic) | 2196-968X |

### ASJC Scopus subject areas

- Applied Mathematics

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## Cite this

Magal, P., & Ruan, S. (2018). Semigroups and Hille-Yosida Theorem. In

*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