M. Erdogan

collaborators

2 papers

math.AP2026

Dispersive Estimates for Dirac Operators with General Domain Walls: One and Two Dimensions

M. Burak Erdogan, Joseph Kraisler, Amir Sagiv

We establish dispersive decay estimates for two-dimensional Dirac equations with bounded and unbounded domain walls, together with estimates for the analogous one-dimensional probl…

math.AP2025

Dispersive estimates for higher order SchrÃ¶dinger operators with scaling-critical potentials

M. Burak Erdogan, Michael Goldberg, William R. Green

We prove a family of dispersive estimates for the higher order SchrÃ¶dinger equation $i u_{t} = (- I^)^{m} u + V u$ for $m \in N$ with $m > 1$ and $2 m < n < 4 m$ . Here $V$ is a real-valued po…