Qualitative Properties of Dispersive PDEs

Chapter 1 A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential

Chapter 2 Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensates

Chapter 3 Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on 𝕋 2 $$\mathbb {T}^2$$

Chapter 4 Nonlinear Schrödinger Equation with Singularities

Chapter 5 Schrödinger Flow’s Dispersive Estimates in a regime of Re-scaled Potentials

Chapter 6 Dispersive Estimates for the Dirac–Coulomb Equation

Chapter 7 Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines

Chapter 8 On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations

Chapter 10 Hamiltonian field theory close to the wave equation: from Fermi-Pasta-Ulam to water waves