Elliptic pseudo differential operators degenerate on a symplectic submanifold

Helffer, Bernard; Rodino, Luigi

doi:10.1090/S0002-9904-1976-14140-7

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Elliptic pseudo differential operators degenerate on a symplectic submanifold
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by Bernard Helffer and Luigi Rodino PDF

Bull. Amer. Math. Soc. 82 (1976), 619-622

References

Louis Boutet de Monvel and François Trèves, On a class of pseudodifferential operators with double characteristics, Invent. Math. 24 (1974), 1–34. MR 353064, DOI 10.1007/BF01418785
B. Helffer, Invariants associés à une classe d’opérateurs pseudodifférentiels et applications à l’hypoellipticité, Ann. Inst. Fourier (Grenoble) 26 (1976), no. 2, x, 55–70 (French, with English summary). MR 413199, DOI 10.5802/aif.614
B. Helffer, Sur une classe d’opérateurs pseudodifférentiels hypoelliptiques à caractéristiques doubles, Séminaire Goulaouic-Lions-Schwartz 1974–1975: Équations aux derivées partielles linéaires et non linéaires, Exp. No. 22, Centre Math., École Polytech., Paris, 1975, pp. 18 (French). D’après L. Hörmander [Ann. of Math. (2) 83 (1966), 129–209]. MR 0390839
Johannes Sjöstrand, Parametrices for pseudodifferential operators with multiple characteristics, Ark. Mat. 12 (1974), 85–130. MR 352749, DOI 10.1007/BF02384749