Harmonic Analysis and PDE

The research of the group ranges from harmonic and complex analysis to PDE, free boundary problems (FBP), and potential theory. Current research directions include: compressed sensing and wavelet packages; Hele-Shaw and Laplacian-growth type problems, related to certain fermionic models in external fields in high-energy physics, the two-phase version of FBP; Born-Oppenheimer approximation, Schrödinger Hamiltonian systems and numerical simulation in molecular dynamics.