Partial differential equations and Mathematical physics
Semiclassical analysis, pseudospectral estimates, spectrum, tunneling effect, Fokker-Planck operators, Witten Laplacian
Hypocoercivity, hypoellipticity, trend to the equilibrium for kinetic equations, linearized kinetic equations, Fokker-Planck,
Vlasov-Poisson-Fokker-Planck, linear relaxation, Boltzmann, Landau, ...
transparent conditions, Dirichlet to Neumann operators, Ventcel's type conditions appearing in mechanics.
Semi-bounded pseudo-differential operators, Gaarding inequalities, Fefferman-Phong inequality, SAK principle, paradifferential operators