Solutions with expanding compact support of saturated Schr{\"o}dinger equations: self-similar solutions
Analysis of PDEs
2025-06-06 v1
Abstract
We prove the existence of solutions of the Schr{\"o}dinger equation with a saturation nonlinear term having compact support, for each that expands with a growth law of the type . The primary tool is considering the self-similar solution of the associated equation. For more information see https://ejde.math.txstate.edu/Volumes/2025/53/abstr.html
Cite
@article{arxiv.2506.04691,
title = {Solutions with expanding compact support of saturated Schr{\"o}dinger equations: self-similar solutions},
author = {Pascal Bégout and Jesus Ildefonso Diaz},
journal= {arXiv preprint arXiv:2506.04691},
year = {2025}
}