Global solvability of an abstract complex-Reference-Cited by-同舟云学术

Global solvability of an abstract complex

Published:1977 Issue:1 Volume:65 Page:117-124
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cardoso Fernando,Hounie Jorge

Abstract

In a recent paper F. Treves studied a model of complexes of pseudodifferential operators in an open set of R n {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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-065-01/S0002-9939-1977-0463721-8/S0002-9939-1977-0463721-8.pdf

Reference3 articles.

1. G. de Rham, Variétés différentiables, Actualités Sci. Indust., no. 1222 = Publ. Inst. Math. Univ. Nancago III, Hermann, Paris, 1955. MR 16, 957.

2. Study of a model in the theory of complexes of pseudodifferential operators;Treves, François;Ann. of Math. (2),1976

3. \bysame, 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).

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