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math.AP2008★ 9 cited
Two soliton solutions to the three dimensional gravitational Hartree equation
Joachim Krieger, Yvan Martel, Pierre Raphael
We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the…
math.AP2008
Renormalization and blow up for the critical Yang-Mills problem
Joachim Krieger, Wilhelm Schlag, Daniel Tataru
We consider the Yangs-Mills equations in 4+1 dimensions. This is the energy critical case and we show that it admits a family of solutions which blow up in finite time. They are ob…