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math.AP2009★ 4 cited
Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations
Raphael Cote, Yvan Martel, Frank Merle
Multi-soliton solutions, i.e. solutions behaving as the sum of N given solitons as , were constructed in previous works for the L2 critical and subcritical (NLS) and…
math.AP2007★ 54 cited
Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
Raphael Cote, Carlos E. Kenig, Frank Merle
We describe the asymptotic behavior as time goes to infinity of solutions of the 2 dimensional corotational wave map system and of solutions to the 4 dimensional, radially symmetri…