| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13565905 Carlos, SP - Brazil
[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Computa, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Results in Mathematics; v. 77, n. 2 APR 2022. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we seek for (Holder) continuous global solutions to the equation Lu = f in the plane, for f belonging to a subspace of L-p (R-2), p >= 1, where L is a degenerate elliptic vector field of Mizohata type. Our approach is via the study of an associated integral operator. Also, we obtain bounded Holder continuous solutions to Vekua type equations in the form Lu = au + b (u) over bar + f. As an application we study an associated Riemann boundary value problem. (AU) | |
| FAPESP's process: | 16/21969-8 - The Riemann Hilbert Problem for degenerate elliptic vector fields |
| Grantee: | Camilo Campana |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis |
| Grantee: | Paulo Domingos Cordaro |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/15046-0 - Solvability and hypoellipticity of first order partial differential operators and boundary value problems |
| Grantee: | Paulo Leandro Dattori da Silva |
| Support Opportunities: | Regular Research Grants |