Phase Space Analysis of Partial Differential Equations

Trace theorem on the Heisenberg group on homogeneous hypersurfaces.- Strong unique continuation and finite jet determination for Cauchy-Riemann mappings.- On the Cauchy problem for some hyperbolic operator with double characteristics.- On the differentiability class of the admissible square roots of regular nonnegative functions.- The Benjamin—Ono equation in energy space.- Instabilities in Zakharov equations for laser propagation in a plasma.- Symplectic strata and analytic hypoellipticity.- On the backward uniqueness property for a class of parabolic operators.- Inverse problems for hyperbolic equations.- On the optimality of some observability inequalities for plate systems with potentials.- Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach.- Non-effectively hyperbolic operators and bicharacteristics.- On the Fefferman-Phong inequality for systems of PDEs.- Local energy decay and Strichartz estimates for the wave equation with time-periodic perturbations.- An elementary proof of Fedi?’s theorem and extensions.- Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients.- On the analyticity of solutions of sums of squares of vector fields.