Removable singularities for the divergence equation with a linear term

• Grant number: 24/14167-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 24, 2024
• End date: 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)