### 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 |
---|---|

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 |

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### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Differential and Integral Equations*,

*7*(3-4), 613-653.

**Bounded H∞-Calculus for elliptic operators.** / Amann, Herbert; Hieber, Matthias Georg; Simonett, Gieri.

Research output: Contribution to journal › Article

*Differential and Integral Equations*, vol. 7, no. 3-4, pp. 613-653.

}

TY - JOUR

T1 - Bounded H∞-Calculus for elliptic operators

AU - Amann, Herbert

AU - Hieber, Matthias Georg

AU - Simonett, Gieri

PY - 1994

Y1 - 1994

N2 - It is shown, in particular, that Lp-realizations of general elliptic systems on Rn 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.

AB - It is shown, in particular, that Lp-realizations of general elliptic systems on Rn 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.

UR - http://www.scopus.com/inward/record.url?scp=84972514023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972514023&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972514023

VL - 7

SP - 613

EP - 653

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 3-4

ER -