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Qualitative Properties of Dispersive PDEs [2022]

1
A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential
2
Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensates
3
Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi>𝕋</mi></mrow><mrow><mn>2</mn></mrow></msup></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathbb {T}^2$$ \end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>
4
Nonlinear Schrödinger Equation with Singularities
5
Schrödinger Flow’s Dispersive Estimates in a regime of Re-scaled Potentials
6
Dispersive Estimates for the Dirac–Coulomb Equation
7
Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines
8
On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations
9
Quasilinear Wave Equations with Decaying Time-Potential
10
Hamiltonian Field Theory Close to the Wave Equation: From Fermi-Pasta-Ulam to Water Waves
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