Dispersive estimates for wave-type equations with low regularity coefficients (A13#)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

Wave equations are ubiquitous, and the investigation of e.g. wave propagation in inhomogeneous media often requires the study of wave equations with low regularity coefficients. Yet the their mathematical investigation remains highly challenging. In this project we propose a new approach to Strichartz and dispersive estimates for specific low regularity wave-type equations and Maxwell systems, which exploits structural properties of the operators and leads to improved quantitative bounds. We furthermore consider Schrödinger operators with large magnetic potentials.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Project Heads: Professorin Dr. Dorothee Frey; Professor Dr. Roland Schnaubelt