Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.08825 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929522195038208 |
|---|---|
| author | Cardoso, Mykael Farah, Luiz Gustavo |
| author_facet | Cardoso, Mykael Farah, Luiz Gustavo |
| contents | We consider the inhomogeneous nonlinear Schrödinger (INLS) equation in $\mathbb{R}^N$ \begin{align}\label{inls} i \partial_t u +Δu +V(x)|u|^{\frac{4-2b}{N}}u = 0, \end{align} where $V(x) = k(x)|x|^{-b}$, with $b>0$. Under suitable assumptions on $k(x)$, we established the threshold for global existence and blow-up and then study the existence and non-existence of minimal mass blow-up solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08825 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal mass blow-up solutions for a inhomogeneous NLS equation Cardoso, Mykael Farah, Luiz Gustavo Analysis of PDEs We consider the inhomogeneous nonlinear Schrödinger (INLS) equation in $\mathbb{R}^N$ \begin{align}\label{inls} i \partial_t u +Δu +V(x)|u|^{\frac{4-2b}{N}}u = 0, \end{align} where $V(x) = k(x)|x|^{-b}$, with $b>0$. Under suitable assumptions on $k(x)$, we established the threshold for global existence and blow-up and then study the existence and non-existence of minimal mass blow-up solutions. |
| title | Minimal mass blow-up solutions for a inhomogeneous NLS equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.08825 |