33 citations · 38 across the 5 of their papers we have counts for
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Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space
Joachim Krieger, Jacob Sterbenz
We prove that smallness of the critical Sobolev norm implies regularity for the Yang-Mills equations on (6+1) and higher dimensional Minkowski space.
Global Stability for Charged Scalar Fields on Minkowski Space
Hans Lindblad, Jacob Sterbenz
We prove that the charge-scalar field (also known as the massless Maxwell-Klein-Gordon) equations are globally stable on (3+1) dimensional Minkowski space for small initial data in…
Global Regularity for General Non-Linear Wave Equations I. (6+1) and Higher Dimensions
Jacob Sterbenz
We solve here the so called division problem for wave equations with generic quadratic non-linearities in high dimensions. Specifically, we show that semilinear wave equations whic…
Global Regularity and Scattering for General Non-Linear Wave Equations II. (4+1) Dimensional Yang--Mills Equations in the Lorentz Gauge
Jacob Sterbenz
We continue here with previous investigations on the global behavior of general type non-linear wave equations for a class of small, scale-invariant initial data. The method is bas…
Angular Regularity and Strichartz Estimates for the Wave Equation
Jacob Sterbenz, Igor Rodnianski
We prove here essentially sharp linear and bilinear Strichartz type estimates for the wave equations on Minkowski space, where we assume the initial data possesses additional regul…