8 citations · 9 across the 3 of their papers we have counts for
3 papers
math.AP2013
Blow up for critical wave equations on curved backgrounds
Joules Nahas, Sohrab Shahshahani
We extend the slow blow up solutions of Krieger, Schlag, and Tataru to semilinear wave equations on a curved background. In particular, for a class of manifolds we show the…
math.AP2010★ 8 cited
On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces
Joules Nahas, Gustavo Ponce
We study persistence properties of solutions to some canonical dispersive models, namely the semi-linear Schrödinger equation, the -generalized Korteweg-de Vries equation and th…
math.AP2010★ 1 cited
A decay property of solutions to the k-generalized KdV equation
Joules Nahas
We use a Leibnitz rule type inequality for fractional derivatives to prove conditions under which a solution of the k-generalized KdV equation is in the space $L^2(|x|^{2s…