Global existence versus finite time blowup dichotomy for the dispersion managed NLS
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910501674418176 |
|---|---|
| author | Choi, Mi-Ran Hong, Younghun Lee, Young-Ran |
| author_facet | Choi, Mi-Ran Hong, Younghun Lee, Young-Ran |
| contents | We consider the Gabitov-Turitsyn equation or the dispersion managed nonlinear Schrödinger equation of a power-type nonlinearity
\[
i\partial_t u+ d_\text{av} \partial_x^2u+\int_0^1 e^{-ir\partial_x^2}\big(|e^{ir\partial_x^2}u|^{p-1}e^{ir\partial_x^2}u\big)dr=0
\] and prove the global existence versus finite time blowup dichotomy for the mass-supercritical cases, that is, $p>9$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02905 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global existence versus finite time blowup dichotomy for the dispersion managed NLS Choi, Mi-Ran Hong, Younghun Lee, Young-Ran Analysis of PDEs We consider the Gabitov-Turitsyn equation or the dispersion managed nonlinear Schrödinger equation of a power-type nonlinearity \[ i\partial_t u+ d_\text{av} \partial_x^2u+\int_0^1 e^{-ir\partial_x^2}\big(|e^{ir\partial_x^2}u|^{p-1}e^{ir\partial_x^2}u\big)dr=0 \] and prove the global existence versus finite time blowup dichotomy for the mass-supercritical cases, that is, $p>9$. |
| title | Global existence versus finite time blowup dichotomy for the dispersion managed NLS |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.02905 |