### Abstract

It is shown, in particular, that L_{p}-realizations of general elliptic systems on R^{n} or on compact manifolds without boundaries possess bounded imaginary powers, provided rather mild regularity conditions are satisfied. In addition, there are given some new perturbation theorems for operators possessing a bounded H∞-calculus.

Original language | English |
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Pages (from-to) | 613-653 |

Number of pages | 41 |

Journal | Differential and Integral Equations |

Volume | 7 |

Issue number | 3-4 |

Publication status | Published - 1994 |

Externally published | Yes |

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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## Cite this

Amann, H., Hieber, M. G., & Simonett, G. (1994). Bounded H∞-Calculus for elliptic operators.

*Differential and Integral Equations*,*7*(3-4), 613-653.