Analysis and Partial Differential Equations
The research in Analysis and Partial Differential Equations at the BGSMath covers a broad range of topics, from classical function theory in one and several complex variables to the study of Banach spaces and its operators. The interplay between singular operators and geometric function theory has been very succesful. On PDE’s the research at the BGSMath is centered around reaction-diffusion and integro-differential equations (regularity and qualitative properties of solutions), population dynamics and biological evolution, as well as several wave problems in mathematical physics and mathematical modelling.
Complex Analysis and Potential Theory
Keywords: Spaces of holomorphic functions. Operator theory. Interpolation and sampling. Point processes. Capacities and energy.
Nonlinear elliptic and parabolic Partial Differential Equations
Harmonic Analysis and Geometric Measure Theory
Real and Functional Analysis
Links to research groups
Researchers in the Barcelona area, and more generally in Catalonia, group themselves into smaller research groups, following not only academic but also administrative criteria, like location or research grants.
Groups with BGSMath faculty
Other groups in Catalonia
|Research group||Contact person|
|Differential Equations, Modelling and Applications (EDMA)||Joan Saldaña|