Lack of Gevrey solvability for a model operator
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910260806025216 |
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| author | Bernardi, Enrico |
| author_facet | Bernardi, Enrico |
| contents | We prove that the Cauchy problem for the model hyperbolic operator in $ \R^{4} $ \[ Q=-D_t^2+2xD_tD_y+D_x^2+x^3D_y^2+D_z^2+z^2D_y^2 \] is not locally solvable at the origin, in the Gevrey $s$ class if $s>6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27054 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lack of Gevrey solvability for a model operator Bernardi, Enrico Analysis of PDEs We prove that the Cauchy problem for the model hyperbolic operator in $ \R^{4} $ \[ Q=-D_t^2+2xD_tD_y+D_x^2+x^3D_y^2+D_z^2+z^2D_y^2 \] is not locally solvable at the origin, in the Gevrey $s$ class if $s>6$. |
| title | Lack of Gevrey solvability for a model operator |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.27054 |