H∞functional calculus of elliptic operators with C∞coefficients on LPspaces of smooth domains

Xuan Thinh Duong

doi:10.1017/S1446788700035242

H_∞functional calculus of elliptic operators with C^∞coefficients on L^Pspaces of smooth domains

Xuan Thinh Duong^*

^*Corresponding author for this work

Faculty of Science and Engineering

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

21 Citations (Scopus)

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.

Original language	English
Pages (from-to)	113-123
Number of pages	11
Journal	Journal of the Australian Mathematical Society
Volume	48
Issue number	1
DOIs	https://doi.org/10.1017/S1446788700035242
Publication status	Published - 1990

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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.",

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H_∞functional calculus of elliptic operators with C^∞coefficients on L^Pspaces of smooth domains

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