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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.04691 |
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| _version_ | 1866908394381639680 |
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| author | Bégout, Pascal Diaz, Jesus Ildefonso |
| author_facet | Bégout, Pascal Diaz, Jesus Ildefonso |
| contents | We prove the existence of solutions \(u(t,x)\) of the Schr{ö}dinger equation with a saturation nonlinear term \((u/|u|)\) having compact support, for each \(t>0,\) that expands with a growth law of the type \(C\sqrt{t}\). 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04691 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solutions with expanding compact support of saturated Schr{ö}dinger equations: self-similar solutions Bégout, Pascal Diaz, Jesus Ildefonso Analysis of PDEs We prove the existence of solutions \(u(t,x)\) of the Schr{ö}dinger equation with a saturation nonlinear term \((u/|u|)\) having compact support, for each \(t>0,\) that expands with a growth law of the type \(C\sqrt{t}\). 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 |
| title | Solutions with expanding compact support of saturated Schr{ö}dinger equations: self-similar solutions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.04691 |