R. Denk, G. Dore, M. Hieber, J. Prüss, and A. Venni
Abstract.
In this paper we show that the Lp-reslization of a vector-valued
elliptic boundary value problem (A,Bj) admits a bounded H-infinity
calculus on Lp (G;E), p>1,
provided the top-order coefficients of A are Hölder continuous. Here G
denotes a domain in Rn with compact C2m-boundary and E a
Banach space of class HT. Our proof is based on an abstract perturbation result
for operators admitting bounded H-infinity calculus and kernel estimates for the
solution of (A,Bj).
Accepted for publication in Math. Ann.