AEI-DFG: Transcending boundaries in Analysis through nonlocality

• Applicants: Professor Dr. Rupert Frank; Professor Dr. Rolf Moritz Kaßmann
• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 541771122

The goal of the project "Transcending boundaries in Analysis through nonlocality" is excellent research in the area of partial differential equations and, more concretely, in the area of nonlocal operators. Four researchers experienced in this field work together with early-career researchers at four sites in Bielefeld, Munich, Barcelona and Madrid on the following interacting topics: Nonlocal free boundary value problems Stability of functional inequalities Coercivity estimates for nonlocal energy forms Point-wise estimates for nonlocal parabolic flows The complementary expertise in regularity theory, functional analysis, and spectral theory will be combined to leverage synergies at the four institutions and to produce exciting research results on nonlocal operators.

• DFG Programme: Research Grants
• International Connection: Spain
• Partner Organisation: Agencia Estatal de Investigación
• Cooperation Partners: Professor Matteo Bonforte, Ph.D.; Professor Dr. Xavier Ros-Oton