147 citations · 515 across the 15 of their papers we have counts for
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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…
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…
Regularity of Wave-Maps in dimension 2+1
Jacob Sterbenz, Daniel Tataru
In this article we prove a Sacks-Uhlenbeck/Struwe type global regularity result for wave-maps into general compact target manifolds …