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.