Advances in Harmonic Analysis and Partial Differential Equations

Local smoothing of Fourier integral operators and Hermite functions.- On () -classes on the Engel group.- Gelfand triples for the Kohn-Nirenberg quantization on homogeneous Lie groups.- A multiplicity result for a non-homogeneous subelliptic problem with Sobolev exponent.- The Dixmier trace and the noncommutative residue for multipliers on compact manifolds.- On the focusing energy-critical 3D quintic inhomogeneous NLS.- Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order.- Spectral theory for magnetic Schrödinger operators in exterior domains with exploding and oscillating long-range potentials.- Simple proof of the estimate of solutions to Schrödinger equations with linear and sub-linear potentials in modulation spaces.- Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates.- On uniqueness for the generalized Choquard equation.- Characterization of the ground state to the intercritical NLS with a linear potential by the virial functional.- Well-posedness for a generalized Klein-Gordon-Schrödinger equations.