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20012012
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 726 across the 21 of their papers we have counts for

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math.AP2012★ 10 cited

Blow up for the critical gKdV equation III: exotic regimes

Yvan Martel, Frank Merle, Pierre Raphael

We consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow…

math.AP2012

Scattering for radial, bounded solutions of focusing supercritical wave equations

Thomas Duyckaerts, Carlos Kenig, Frank Merle

In this paper, we consider the wave equation in space dimension 3 with an energy-supercritical, focusing nonlinearity. We show that any radial solution of the equation which is bou…