On the range of unsolvable systems induced by complex vector fields
<p dir="ltr">We provide criteria for local unsolvability of first-order differential systems induced by complex vector fields employing techniques from the theory of locally integrable structures. Following Hörmander’s approach to study locally unsolvable equations, we obtain analogo...
محفوظ في:
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| منشور في: |
2023
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| _version_ | 1864513530428915712 |
|---|---|
| author | A. V. da Silva (17807327) |
| author_facet | A. V. da Silva (17807327) |
| author_role | author |
| dc.creator.none.fl_str_mv | A. V. da Silva (17807327) |
| dc.date.none.fl_str_mv | 2023-09-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1007/s42985-023-00260-0 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/On_the_range_of_unsolvable_systems_induced_by_complex_vector_fields/25017995 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Numerical and computational mathematics Pure mathematics Locally unsolvable systems Locally integrable structures First-order systems of PDEs |
| dc.title.none.fl_str_mv | On the range of unsolvable systems induced by complex vector fields |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">We provide criteria for local unsolvability of first-order differential systems induced by complex vector fields employing techniques from the theory of locally integrable structures. Following Hörmander’s approach to study locally unsolvable equations, we obtain analogous results in the differential complex associated to a locally integrable structure provided that it is not locally exact in three different scenarios: top-degree, Levi-nondegenerate structures and co-rank 1 structures.</p><h2>Other Information</h2><p dir="ltr">Published in: Partial Differential Equations and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s42985-023-00260-0" target="_blank">https://dx.doi.org/10.1007/s42985-023-00260-0</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_08ded8e4cc2ecf0e673c93fd3c41750e |
| identifier_str_mv | 10.1007/s42985-023-00260-0 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25017995 |
| publishDate | 2023 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | On the range of unsolvable systems induced by complex vector fieldsA. V. da Silva (17807327)Mathematical sciencesNumerical and computational mathematicsPure mathematicsLocally unsolvable systemsLocally integrable structuresFirst-order systems of PDEs<p dir="ltr">We provide criteria for local unsolvability of first-order differential systems induced by complex vector fields employing techniques from the theory of locally integrable structures. Following Hörmander’s approach to study locally unsolvable equations, we obtain analogous results in the differential complex associated to a locally integrable structure provided that it is not locally exact in three different scenarios: top-degree, Levi-nondegenerate structures and co-rank 1 structures.</p><h2>Other Information</h2><p dir="ltr">Published in: Partial Differential Equations and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s42985-023-00260-0" target="_blank">https://dx.doi.org/10.1007/s42985-023-00260-0</a></p>2023-09-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s42985-023-00260-0https://figshare.com/articles/journal_contribution/On_the_range_of_unsolvable_systems_induced_by_complex_vector_fields/25017995CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/250179952023-09-01T00:00:00Z |
| spellingShingle | On the range of unsolvable systems induced by complex vector fields A. V. da Silva (17807327) Mathematical sciences Numerical and computational mathematics Pure mathematics Locally unsolvable systems Locally integrable structures First-order systems of PDEs |
| status_str | publishedVersion |
| title | On the range of unsolvable systems induced by complex vector fields |
| title_full | On the range of unsolvable systems induced by complex vector fields |
| title_fullStr | On the range of unsolvable systems induced by complex vector fields |
| title_full_unstemmed | On the range of unsolvable systems induced by complex vector fields |
| title_short | On the range of unsolvable systems induced by complex vector fields |
| title_sort | On the range of unsolvable systems induced by complex vector fields |
| topic | Mathematical sciences Numerical and computational mathematics Pure mathematics Locally unsolvable systems Locally integrable structures First-order systems of PDEs |