31 citations · 119 across the 15 of their papers we have counts for
17 papers
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…
Dispersive estimates for higher order Schrödinger operators with scaling-critical potentials
M. Burak Erdogan, Michael Goldberg, William R. Green
We prove a family of dispersive estimates for the higher order Schrödinger equation for with and . Here is a real-valued pote…
Talbot Effect on the Sphere and Torus for
M. Burak Erdogan, Chi N. Y. Huynh, Ryan McConnell
We utilize exponential sum techniques to obtain upper and lower bounds for the fractal dimension of the graph of solutions to the linear Schrödinger equation on and…
Counterexamples to boundedness of wave operators for classical and higher order Schrödinger operators
M. Burak Erdogan, Michael Goldberg, William R. Green
We consider the higher order Schrödinger operator in dimensions with real-valued potential when , . We show that for any $\frac{2n}{…
The -continuity of wave operators for higher order Schrödinger operators
M. Burak Erdogan, William Green
We consider the higher order Schrödinger operator in dimensions with real-valued potential when , , . When is odd, we prove t…
Fourier decay of fractal measures on hyperboloids
Alex Barron, M. Burak Erdogan, Terence L. J. Harris
Let be an -dimensional probability measure. We prove new upper and lower bounds on the decay rate of hyperbolic averages of the Fourier transform . More precisely…