Wave front set of solutions to Schrödinger equations with time-dependent magnetic fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917267338428416 |
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| author | Abe, Fumihito Muramatsu, Ryo |
| author_facet | Abe, Fumihito Muramatsu, Ryo |
| contents | In this paper, we determine the wave front set of solutions to the Schrödinger equation with time-dependent magnetic fields. We considered time-dependent and `not so small' magnetic fields through the method using the wave packet transform established by K. Kato, M. Kobayashi and S. Ito. Furthermore, we checked that the fundamental solution of the Schrödinger equation in a spatially decaying magnetic field has no singularities as a consequence of our result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10741 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Wave front set of solutions to Schrödinger equations with time-dependent magnetic fields Abe, Fumihito Muramatsu, Ryo Analysis of PDEs In this paper, we determine the wave front set of solutions to the Schrödinger equation with time-dependent magnetic fields. We considered time-dependent and `not so small' magnetic fields through the method using the wave packet transform established by K. Kato, M. Kobayashi and S. Ito. Furthermore, we checked that the fundamental solution of the Schrödinger equation in a spatially decaying magnetic field has no singularities as a consequence of our result. |
| title | Wave front set of solutions to Schrödinger equations with time-dependent magnetic fields |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.10741 |