279 citations · 1.4k across the 39 of their papers we have counts for
Showing 2013 · math.APShow all
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math.AP2013★ 49 cited
The cubic Dirac equation: Small initial data in
Ioan Bejenaru, Sebastian Herr
We establish global well-posedness and scattering for the cubic Dirac equation for small data in the critical space . The main ingredient is obtaining a sharp en…
math.AP2013★ 47 cited
The Boson star equation with initial data of low regularity
Sebastian Herr, Enno Lenzmann
The Cauchy problem for the L^2-critical boson star equation with initial data of low regularity in spatial dimension d=3 is studied. Local well-posedness in H^s for s > 1/4 is prov…
math.AP2013★ 77 cited
The Fourier restriction norm method for the Zakharov-Kuznetsov equation
Axel Grünrock, Sebastian Herr
The Cauchy problem for the Zakharov-Kuznetsov equation is shown to be locally well-posed in H^s(R^2) for all s>1/2 by using the Fourier restriction norm method and bilinear refinem…