Well-posedness and qualitative properties for nonlinear PDEs
| Grant number: | 21/12655-8 |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |
| Effective date (Start): | January 01, 2022 |
| Effective date (End): | April 30, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Tiago Henrique Picon |
| Grantee: | Catarina Barbosa Machado |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Associated research grant: | 18/15484-7 - A priori estimates for elliptic operators and applications, AP.JP2 |
Abstract In this project we are interested in the study of Sobolev-Hardy type spaces: pointwise characterization, atomic and molecular decomposition. As application, we intend to obtain some progress on continuity/boundedness (at Sobolev level) of maximal operators, div-curl estimates and pseudodifferential operators on these spaces. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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