Bounded H∞-Calculus for elliptic operators

Herbert Amann; Matthias Georg Hieber; Gieri Simonett

Bounded H∞-Calculus for elliptic operators

Herbert Amann, Matthias Georg Hieber, Gieri Simonett

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown, in particular, that L_p-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.

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

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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Bounded H∞-Calculus for elliptic operators

Abstract

ASJC Scopus subject areas

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