A. Corcho

collaborators

2 papers

math.AP2025

$L^{2}$ solutions for cubic NLS equation with fractional elliptic/hyperbolic operators on $R \times T$ and $R^{2}$

A. J. Corcho, L. P. Mallqui

In this work we consider the Cauchy problem for the cubic SchrÃ¶dinger equation posed on cylinder $R \times T$ with fractional derivatives $(-\partial_y^2)^Î±,\, Î±…

math.AP2025

On the nonexistence of NLS breathers

Miguel Ã. Alejo, AdÃ¡n J. Corcho

In this work, a rigorous proof of the nonexistence of breather solutions for NLS equations is presented. By using suitable virial functionals, we are able to characterize the nonex…

L2 solutions for cubic NLS equation with fractional elliptic/hyperbolic operators on R×T and R2

On the nonexistence of NLS breathers

$L^{2}$ solutions for cubic NLS equation with fractional elliptic/hyperbolic operators on $R \times T$ and $R^{2}$