9 citations · 16 across the 9 of their papers we have counts for
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math.AP2007★ 9 cited
Bilinear virial identities and applications
Fabrice Planchon, Luis Vega
We prove bilinear virial identities for the nonlinear Schrodinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear impr…
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…
math.AP2007★ 5 cited
Schrödinger Maps and their associated Frame Systems
Andrea Nahmod, Jalal Shatah, Luis Vega +1
In this paper we establish the equivalence of solutions between Schrödinger map into or and their associated gauge invariant Schrödinger equations. W…