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. 1979 Dec;76(12):6055–6056. doi: 10.1073/pnas.76.12.6055

On the lowest eigenvalue of a pseudo-differential operator

C Fefferman *, D H Phong †
PMCID: PMC411799  PMID: 16592730

Abstract

Positive lower bounds for pseudo-differential operators with nonnegative symbols are derived; the bounds in particular yield subelliptic estimates for operators arising as sums of squares of vector fields.

Keywords: sharp G[unk]arding inequalities, uncertainty principle, subelliptic estimates, commutators of vector fields

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Fefferman C., Phong D. H. On positivity of pseudo-differential operators. Proc Natl Acad Sci U S A. 1978 Oct;75(10):4673–4674. doi: 10.1073/pnas.75.10.4673. [DOI] [PMC free article] [PubMed] [Google Scholar]

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