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20012011
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 716 across the 19 of their papers we have counts for

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math.AP2006★ 4 cited

Global well-posedness, scattering and blow-up for the energy critical focusing non-linear wave equation

Carlos E. Kenig, Frank Merle

We prove, for the energy critcal, focusing NLW, that for Cauchy data (u_0, u_1) whose energy is smaller than that of (W,0), where W is the well-known radial positive solution to th…

math.AP2006★ 596 cited

Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

Carlos E. Kenig, Frank Merle

We prove, for the energy critical, focusing NLS, that for data whose energy is smaller than that of the standing wave, and whose homogeneous Sobolev norm H^1 is smaller than that o…