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math.AP2025
Global Solutions for 5D Quadratic Fourth-Order Schrödinger Equations
Ebru Toprak, Mengyi Xie
We prove small data scattering for the fourth-order Schrödinger equation with quadratic nonlinearity \begin{equation*} i\partial_t u+Î^2 u+αu^2 + β\bar{u}^2=0\qquad\text{in }\m…
math.AP2024
Pointwise decay for radial solutions of the Schrödinger equation with a repulsive Coulomb potential
Adam Black, Ebru Toprak, Bruno Vergara +1
We study the long-time behavior of solutions to the Schrödinger equation with a repulsive Coulomb potential on for spherically symmetric initial data. Our approach…