4 papers · 1 filter
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…
Transport models for wave propagation in scattering media with nonlinear absorption
Joseph Kraisler, Wei Li, Kui Ren +2
This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wign…
On the Time-decay of solutions arising from periodically forced Dirac Hamiltonians
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
There is increased interest in time-dependent (non-autonomous) Hamiltonians, stemming in part from the active field of Floquet quantum materials. Despite this, dispersive time-deca…
Dispersive decay estimates for Dirac equations with a domain wall
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
Dispersive time-decay estimates are proved for a one-parameter family of one-dimensional Dirac Hamiltonians with dislocations; these are operators which interpolate between two pha…