An Isomorphism Theorem for Some Linear Elliptic Differential Operators on Quasi-Asymptotically Conical Manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912435343982592 |
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| author | Nouidha, Mohamed |
| author_facet | Nouidha, Mohamed |
| contents | We study a linear elliptic differential operator of the form $\mathcal{P}=Δ+ V - λ$ on a quasi-asymptotically conical manifold $(M, g)$, where $g$ is a polyhomogeneous metric and $V$ is a $b$-vector field that is unbounded with respect to the metric $g$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Isomorphism Theorem for Some Linear Elliptic Differential Operators on Quasi-Asymptotically Conical Manifolds Nouidha, Mohamed Differential Geometry Analysis of PDEs We study a linear elliptic differential operator of the form $\mathcal{P}=Δ+ V - λ$ on a quasi-asymptotically conical manifold $(M, g)$, where $g$ is a polyhomogeneous metric and $V$ is a $b$-vector field that is unbounded with respect to the metric $g$. |
| title | An Isomorphism Theorem for Some Linear Elliptic Differential Operators on Quasi-Asymptotically Conical Manifolds |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2506.13069 |