Research Themes
- Dispersive PDEs
- Harmonic Analysis
- Stochastic PDEs
Research Activity
The study of dynamics of solutions of nonlinear dispersive PDEs in the deterministic/probabilistic settings. Implementation of the methods of harmonic analysis, probability theory to the dispersive/dissipative nonlinear partial differential equations such as nonlinear Schrödinger and KdV equations in the well-posedness context. Essentially, well-posedness of IBVPs, smoothing effect and its numerous applications to the dispersive PDEs and large N problem in quantum field theory.