16 citations · 45 across the 7 of their papers we have counts for
5 papers · 1 filter
On the focusing critical semi-linear wave equation
Joachim Krieger, Wilhelm Schlag
The focusing critical wave equation in three dimensions exhibits a special class of static solutions which are linearly unstable. These solutions decay like an inverse first power.…
Non-generic blow-up solutions for the critical focusing NLS in 1-d
Joachim Krieger, Wilhelm Schlag
This paper addresses the existence of codimension one stable manifolds for the pseudo-conformal blow-up solution for critical one-dimensional NLS. By the work of Perelman and Merle…
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.
Stability of Spherically Symmetric Wave Maps
Joachim Krieger
We study Wave Maps from R^{2+1} to the hyperbolic plane with smooth compactly supported initial data which are close to smooth spherically symmetric ones with respect to some H^{1+…
Stable manifolds for all monic supercritical NLS in one dimension
Joachim Krieger, Wilhelm Schlag
We show that all supercritical monic focusing NLS in one space dimension exhibit asymptotic stability of perturbed standing waves provided the perturbations are chosen on a small h…