| Grant number: | 24/14167-9 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | October 24, 2024 - November 02, 2024 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Tiago Henrique Picon |
| Grantee: | Tiago Henrique Picon |
| Visiting researcher: | Laurent Moonens |
| Visiting researcher institution: | Université Paris-Sud (Paris 11), France |
| Host Institution: | Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil |
| Associated research grant: | 18/15484-7 - A priori estimates for elliptic operators and applications, AP.JP2 |
Abstract
The current project aims to bring together the collaborators to study a problem of removable singularities for the divergence equation with a linear term. It is expected, under assumptions on the linear term, its precise behavior does not influence the size of removable sets. In order to obtain a characterization of the latter removable sets, the authors intend to improve on techniques developed earlier by P. De Nápoli, J. Hounie and T. Picon on Stein-Weiss inequalities, and on duality techniques to solve partial differential equations with measure data. (AU)
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