87 citations · 192 across the 23 of their papers we have counts for
Showing 2024 · math.APShow all
3 papers · 2 filters
math.AP2024
Error bounds for Physics Informed Neural Networks in Nonlinear Schrödinger equations placed on unbounded domains
Miguel Á. Alejo, Lucrezia Cossetti, Luca Fanelli +2
We consider the subcritical nonlinear Schrödinger (NLS) in dimension one posed on the unbounded real line. Several previous works have considered the deep neural network approximat…
math.AP2024
Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation
Miguel Á. Alejo, Claudio Muñoz, Jessica Trespalacios
We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group . In this work we show the nonlinear stability of small enough nonsi…
math.AP2024★ 1 cited
On the nonexistence of NLS breathers
Miguel Á. Alejo, Adán 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…