8 citations · 9 across the 6 of their papers we have counts for
6 papers
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…
Instability of type II blow up for the quintic nonlinear wave equation on \R^{3+1}
Joachim Krieger, Joules Nahas
We prove that the finite time blow up solutions of type II character constructed by Krieger-Schlag-Tataru as well as Krieger-Schlag are unstable in the energy topology, in that the…
On the Positivstellensatz for Enveloping Algebras
J. Nahas
We use Reznick's Theorem for positive homogeneous polynomials to prove an elliptic regularity result for representations of enveloping algebras of Lie algebras. This allows us to r…
Scattering of Wave Maps from to general targets
Joules Nahas
We show that smooth, radially symmetric wave maps from to a compact target manifold , where and have compact support for any…
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…
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…