13 citations · 25 across the 7 of their papers we have counts for
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math.AP2007★ 9 cited
A remark on global well-posedness below L^2 for the gKdV-3 equation
Axel Gruenrock, Mahendra Panthee, Jorge Drumond Silva
The I-method in its first version as developed by Colliander et al. is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-…
math.AP2007
Local well-posedness for the modified KdV equation in almost critical ^H^r_s-spaces
Axel Gruenrock, Luis Vega
We study the Cauchy problem for the modified KdV equation for data u_0 in the space ^H^r_s defined by the norm ||u_0||_{^H^r_s}:=||<ξ>^s u^_0||_{L^r'_ξ}. Local well-posedness of th…