The cubic-quintic nonlinear Schrödinger equation with inverse-square potential
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866912153846415360 |
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| author | Ardila, Alex H. Murphy, Jason |
| author_facet | Ardila, Alex H. Murphy, Jason |
| contents | We consider the nonlinear Schrödinger equation in three space dimensions with a focusing cubic nonlinearity and defocusing quintic nonlinearity and in the presence of an external inverse-square potential. We establish scattering in the region of the mass-energy plane where the virial functional is guaranteed to be positive. Our result parallels the scattering result of \cite{R.Killip, T. Oh, O. Pocovnicu, and M. Visan} in the setting of the standard cubic-quintic NLS. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_07079 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The cubic-quintic nonlinear Schrödinger equation with inverse-square potential Ardila, Alex H. Murphy, Jason Analysis of PDEs We consider the nonlinear Schrödinger equation in three space dimensions with a focusing cubic nonlinearity and defocusing quintic nonlinearity and in the presence of an external inverse-square potential. We establish scattering in the region of the mass-energy plane where the virial functional is guaranteed to be positive. Our result parallels the scattering result of \cite{R.Killip, T. Oh, O. Pocovnicu, and M. Visan} in the setting of the standard cubic-quintic NLS. |
| title | The cubic-quintic nonlinear Schrödinger equation with inverse-square potential |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2112.07079 |