J Austral Math Soc Ser A 48 pp113--123, 1990.

H¥ Functional Calculus of Elliptic Operators with C¥ Coefficients on Lp spaces of Smooth Domains

Xuan Thinh Duong

(Received 5 December 1988)

Abstract

The purpose of this paper is to show that higher order elliptic partial differential operators on smooth domains have an H¥ functional calculus and satisfy quadratic estimates in Lp spaces on these domains.

1980 AMS Subject Classification (1985 Revision): 47A60, 35J55

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Authors

Xuan Thinh Duong
School of Mathematics, Physics, Computing and Electronics, Macquarie University, NSW, 2109, Australia.

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