Time-dependent Moments

• Applicant: Dr. Philipp di Dio
• Subject Area: Mathematics
• Term: since 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 491815486

We want to investigate time-dependent moments which come from distribution (functions) and measures. These functions and measure shall develop in time described by partial differential equations. In this project we want to investigate the effects of time-evolutions from partial differential equations on moments and therefore polynomials with applications to optimization, Caratheodory numbers etc. In the long term we want to establish and apply algebraic and especially moment theoretic methods to partial differential equations.

• DFG Programme: Research Grants
• International Connection: USA
• Cooperation Partner: Professor Dr. Raul Curto