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Long finite time bubble trees for two co-rotational wave maps
Joachim Krieger, José M. Palacios
We show that the energy critical Wave Maps equation from into , restricted to the co-rotational setting, admits arbitrarily large numbers of…
Concentric bubbles concentrating in finite time for the energy critical wave maps equation
Jacek Jendrej, Joachim Krieger
We show that the energy critical Wave Maps equation from to and restricted to the co-rotational setting with co-rotation index admits fini…
Finite time blow up for the energy critical Zakharov system II: exact solutions
Joachim Krieger, Tobias Schmid
Based on our companion paper [Krieger-Schmid, 2024], we show that the 4D energy critical Zakharov system admits finite time type II blow up solutions. The main new difficulty this…
Finite time blow up for the energy critical Zakharov system I: approximate solutions
Joachim Krieger, Tobias Schmid
We construct approximate solutions of the critical 4D Zakharov system which collapse in finite time to a singular renormalization of the solitary bulk solutions $ (λe…
Small data global regularity for half-wave maps in dimensions
Anna Kiesenhofer, Joachim Krieger
We prove that the half-wave maps problem on with target is globally well-posed for smooth initial data which are small in the critical based Besov sp…