G. Cao-Labora

collaborators

2 papers

math.AP2024

Non-radial implosion for the defocusing nonlinear Schrödinger equation in $T^{d}$ and $R^{d}$

Gonzalo Cao-Labora, Javier Gómez-Serrano, Jia Shi +1

In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schrödinger equation that develop an imploding finite time singularity, both in the periodic set…

math.NT2019

An Erdős--Fuchs Theorem for Ordered Representation Functions

Gonzalo Cao-Labora, Juanjo Rué, Christoph Spiegel

Let $k \geq 2$ be a positive integer. We study concentration results for the ordered representation functions $r^{\leq}_k(A,n) = \# \big\{ (a_1 \leq \dots \leq a_k) \in A^k : a_1+\d…

Non-radial implosion for the defocusing nonlinear Schrödinger equation in Td and Rd

An Erdős--Fuchs Theorem for Ordered Representation Functions

Non-radial implosion for the defocusing nonlinear Schrödinger equation in $T^{d}$ and $R^{d}$