147 citations · 515 across the 15 of their papers we have counts for
15 papers
A Vector Field Method for Radiating Black Hole Spacetimes
Jesus Oliver, Jacob Sterbenz
We develop a commuting vector field method for a general class of radiating spacetimes. The metrics considered are certain long range perturbations of Minkowski space including tho…
Local energy decay for scalar fields on time dependent non-trapping backgrounds
Jason Metcalfe, Jacob Sterbenz, Daniel Tataru
We consider local energy decay estimates for solutions to scalar wave equations on nontrapping asymptotically flat space-times. Our goals are two-fold. First we consider the statio…
Hodge-Teichmueller planes and finiteness results for Teichmueller curves
Carlos Matheus, Alex Wright
We prove that there are only finitely many algebraically primitive Teichmueller curves in the minimal stratum in each prime genus at least 3. The proof is based on the study of cer…
Dispersive Decay for the 1D Klein-Gordon Equation with Variable Coefficient Nonlinearities
Jacob Sterbenz
We study the 1D Klein-Gordon equation with variable coefficient nonlinearity. This problem exhibits an interesting resonant interaction between the spatial frequencies of the nonli…
Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds
Jacob Sterbenz, Daniel Tataru
We prove local energy decay estimates for solutions to the inhomogeneous Maxwell system on a generic class of spherically symmetric black holes.
Global well-posedness for the Maxwell-Klein Gordon equation in 4+1 dimensions. Small energy
Joachim Krieger, Jacob Sterbenz, Daniel Tataru
We prove that the critical Maxwell-Klein Gordon equation on R4+1 is globally well-posed for smooth initial data which are small in the energy. This reduces the problem of global re…