147 citations · 542 across the 39 of their papers we have counts for
8 papers · 2 filters
Exotic blowup solutions for the u^5 focusing wave equation in R^3
Roland Donninger, Min Huang, Joachim Krieger +1
For the energy critical focusing wave equation in three dimensions we establish the existence of blowup solutions via an "exotic" dynamical rescaling of the ground state solution W…
Full range of blow up exponents for the quintic wave equation in three dimensions
Joachim Krieger, Wilhelm Schlag
For the critical focusing wave equation \Box u = u^5 on R^{3+1} in the radial case, we prove the existence of type II blow up solutions with scaling parameter λ(t) = t^{-1-ν} for a…
Instability of type II blow up for the quintic nonlinear wave equation on \R^{3+1}
Joachim Krieger, Joules Nahas
We prove that the finite time blow up solutions of type II character constructed by Krieger-Schlag-Tataru as well as Krieger-Schlag are unstable in the energy topology, in that the…
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…
Threshold phenomenon for the quintic wave equation in three dimensions
Joachim Krieger, Kenji Nakanishi, Wilhelm Schlag
For the critical focusing wave equation on in the radial case, we establish the role of the "center stable" manifold constructed in \cite{KS} near the…
Nondispersive solutions to the L2-critical half-wave equation
Joachim Krieger, Enno Lenzmann, Pierre Raphael
We consider the focusing -critical half-wave equation in one space dimension where denotes the first-order fractional derivative. Sta…