Schrödinger ultrahyperbolic equations with singular coefficients
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910053534007296 |
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| author | Garetto, Claudia Tramontana, Davide |
| author_facet | Garetto, Claudia Tramontana, Davide |
| contents | In this paper we investigate the Cauchy problem for Schrödinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove $H^\infty$ well-posedness in the very weak sense under suitable assumptions of the distributional structure of the coefficients and decay on the lower order terms. Consistency is proven with the classical $H^\infty$-results when the equation coefficients are smooth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03170 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Schrödinger ultrahyperbolic equations with singular coefficients Garetto, Claudia Tramontana, Davide Analysis of PDEs In this paper we investigate the Cauchy problem for Schrödinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove $H^\infty$ well-posedness in the very weak sense under suitable assumptions of the distributional structure of the coefficients and decay on the lower order terms. Consistency is proven with the classical $H^\infty$-results when the equation coefficients are smooth. |
| title | Schrödinger ultrahyperbolic equations with singular coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.03170 |