| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Alameda Univ S-N, BR-09606045 Sao Bernardo Do Campo, SP - Brazil
[2] Univ Fed Sao Carlos UFSCar, Dept Matemat, BR-13569905 Sao Carlos, SP - Brazil
[3] Univ Fed Parana, Dept Matemat, BR-82590300 Curitiba, Parana - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS; v. 26, n. 6 DEC 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We introduce a new class of ultradifferentiable pseudodifferential operators on the toruswhose calculus allows us to showthat global hypoellipticity, in ultradifferentiable classes, with a finite loss of derivatives of a system of pseudodifferential operators, is stable under perturbations by lower order pseudodifferential operators whose order depends on the loss of derivatives. The key point in our study is our definition of loss of derivatives. We also give an easy proof of the fact that if a system of pseudodifferential operators is globallyM-hypoelliptic then its transpose is globally solvable in D'(M) (T-N). Finally we present an application of our results. (AU) | |
| FAPESP's process: | 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis |
| Grantee: | Paulo Domingos Cordaro |
| Support Opportunities: | Research Projects - Thematic Grants |