Global solvability of an abstract complex
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- by Fernando Cardoso and Jorge Hounie PDF
- Proc. Amer. Math. Soc. 65 (1977), 117-124 Request permission
Abstract:
In a recent paper F. Treves studied a model of complexes of pseudodifferential operators in an open set of ${R^n}$, establishing necessary and sufficient conditions for its semiglobal solvability. In the present paper, the authors give necessary and sufficient conditions for the global solvability of an analogous complex defined on an orientable, compact smooth manifold without boundary.References
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G. de Rham, Variétés différentiables, Actualités Sci. Indust., no. 1222 = Publ. Inst. Math. Univ. Nancago III, Hermann, Paris, 1955. MR 16, 957.
- François Treves, Study of a model in the theory of complexes of pseudodifferential operators, Ann. of Math. (2) 104 (1976), no. 2, 269–324. MR 426068, DOI 10.2307/1971048 —, Solvability of a model in the theory of complexes of pseudodifferential operators, Lectures given by F. Treves (Recife, 1976), written by J. Hounie (to appear).
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 117-124
- MSC: Primary 35N99; Secondary 58G15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0463721-8
- MathSciNet review: 0463721