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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1978 Oct;75(10):4673–4674. doi: 10.1073/pnas.75.10.4673

On positivity of pseudo-differential operators

C Fefferman †, D H Phong ‡
PMCID: PMC336181  PMID: 16592576

Abstract

In this paper we obtain new lower bounds for pseudo-differential operators with non-negative symbols, thus providing a sharper form of Gårding's inequality.

Keywords: partial differential equations, sharp Gårding inequality, symbolic calculus

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