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20012026
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 1.2k across the 49 of their papers we have counts for

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math.AP2008★ 5 cited

Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications

Carlos E. Kenig, Frank Merle

In this paper we establish optimal pointwise decay estimates for non-dispersive (compact) radial solutions to non-linear wave equations in 3 dimensions, in the energy supercritical…

math.AP2008

Scattering norm estimate near the threshold for energy-critical focusing semilinear wave equation

Thomas Duyckaerts, Frank Merle

We consider the energy-critical semilinear focusing wave equation in dimension . An explicit solution of this equation is known. By the work of C. Kenig and F. Merle,…

math.AP2008★ 29 cited

Description of the inelastic collision of two solitary waves for the BBM equation

Y. Martel, F. Merle, T. Mizumachi

We prove that the collision of two solitary waves of the BBM equation is inelastic but almost elastic in the case where one solitary wave is small in the energy space. We show prec…