CORDIS Project
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This project aims to advance the understanding of regularity in partial differential equations (PDEs) by addressing significant open problems. It focuses on developing new techniques to describe singularities and establish regularity results for free boundaries in nonlinear elliptic PDEs.
One of the oldest and most important questions in PDE theory is that of regularity. A classical example is Hilbert's XIXth problem (1900), solved by De Giorgi and Nash in 1956.
During the second half of the XXth century, the regularity theory for elliptic and parabolic PDE's experienced a huge development, and many fundamental questions were answered by Caffarelli, Nirenberg, Krylov, Evans, Nadirashvili, Friedman, and many others.
Still, there are problems of crucial importance that remain open.…
UNIVERSITAT DE BARCELONA
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Switzerland, Zurich
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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