Differential complexes associated to locally integrable structures.
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, IME, Sao Paulo, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF FUNCTIONAL ANALYSIS; v. 276, n. 2, p. 380-409, JAN 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
Inspired by the work of Suzuki {[}12] on the concept of real-analytic solvability for first-order analytic linear partial differential operators we extend his results for the differential complexes associated to analytic locally integrable structures of corank one. We prove that such notion of solvability is related to the smooth solvability condition introduced by F. Treves {[}13] in 1983. In our arguments the natural extension to closed forms of the well-known Baouendi-Treves approximation formula, the so-called ``Approximate Poincare Lemma{''} (cf. {[}1], {[}14]), plays a key role. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 12/03168-7 - Geometric theory of PDE and several complex variables |
| Grantee: | Jorge Guillermo Hounie |
| Support Opportunities: | Research Projects - Thematic Grants |