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Removable singularities for the divergence equation with a linear term

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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