596 citations · 1.2k across the 49 of their papers we have counts for
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Concentration-compactness and universal profiles for the non-radial energy critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
In this paper, we give an overview of the authors' work on applications of the method of concentration-compactness to global well-posedness, scattering, blow-up and universal profi…
Global existence for solutions of the focusing wave equation with the compactness property
Thomas Duyckaerts, Carlos Kenig, Frank Merle
We prove that every solution of the focusing energy-critical wave equation with the compactness property is global. We also give similar results for supercritical wave and Schrödin…
Construction of multi-solitons for the energy-critical wave equation in dimension 5
Yvan Martel, Frank Merle
We construct 2-solitons of any speed of the focusing energy-critical nonlinear wave equation in dimension 5. The existence result also holds for the case of K-solitons, for any K >…
Codimension one threshold manifold for the critical gKdV equation
Yvan Martel, Frank Merle, Kenji Nakanishi +1
We construct the 'threshold manifold' near the soliton for the mass critical gKdV equation, completing results obtained in arXiv:1204.4625 and arXiv:1204.4624. In a neighborhood of…