147 citations · 542 across the 39 of their papers we have counts for
46 papers
Semi-global controllability of a geometric wave equation
Joachim Krieger, Shengquan Xiang
We prove the semi-global controllability and stabilization of the -dimensional wave maps equation with spatial domain and target . First we show…
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation
Joachim Krieger, Jonas Luhrmann, Gigliola Staffilani
We establish probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge for scaling super-critical random ini…
A stability theory beyond the co-rotational setting for critical Wave Maps blow up
Joachim Krieger, Shuang Miao, Wilhelm Schlag
We exhibit non-equivariant perturbations of the blowup solutions constructed in \cite{KST} for energy critical wave maps into . Our admissible class of perturbations…
Boundary stabilization of focusing NLKG near unstable equilibria: radial case
Joachim Krieger, Shengquan Xiang
We investigate the stability and stabilization of the cubic focusing Klein-Gordon equation around static solutions on the closed ball of radius L in . First we show t…
Cost for a controlled linear KdV equation
Joachim Krieger, Shengquan Xiang
The controllability of the linearized KdV equation with right Neumann control is studied in the pioneering work of Rosier [25]. However, the proof is by contradiction arguments and…
Randomization improved Strichartz estimates and global well-posedness for supercritical data
Nicolas Burq, Joachim Krieger
We introduce a novel data randomisation for the free wave equation which leads to the same range of Strichartz estimates as for radial data, albeit in a non-radial context. We then…