## Abstract

In this note we prove that (under suitable hypotheses) every homogeneous differential operator on L^{p}(R^{n})^{N}, corresponding to a system which is well-posed in L^{2}(R^{n})^{N}, generates an α-times integrated semigroup on L^{p}(R^{n})^{N} (1 <p <∞) whenever α > n | 1 2 - 1 p|. For some special systems of mathematical physics, such as the wave equation or Maxwell's equations this constant can be improved to be (n - 1) | 1 2 - 1 p|.

Original language | English |
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Pages (from-to) | 300-308 |

Number of pages | 9 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 162 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1991 Nov 15 |

Externally published | Yes |

## ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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