Differential and Integral Equations

$H_\infty$-calculus for elliptic operators with nonsmooth coefficients

Abstract

We show that general systems of elliptic differential operators have a bounded $H_\infty$-functional calculus in $L_p$ spaces, provided the coefficients satisfy only minimal regularity assumptions.

Article information

Source
Differential Integral Equations, Volume 10, Number 2 (1997), 201-217.

Dates
First available in Project Euclid: 2 May 2013

Duong, Xuan T.; Simonett, Gieri. $H_\infty$-calculus for elliptic operators with nonsmooth coefficients. Differential Integral Equations 10 (1997), no. 2, 201--217. https://projecteuclid.org/euclid.die/1367526333