Form uniqueness for graphs with weakly spherically symmetric ends
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911179506450432 |
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| author | Hernandez, Luis Ku, Sean Masamune, Jun Romanelli, Genevieve Wojciechowski, Radosław K. |
| author_facet | Hernandez, Luis Ku, Sean Masamune, Jun Romanelli, Genevieve Wojciechowski, Radosław K. |
| contents | We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Form uniqueness for graphs with weakly spherically symmetric ends Hernandez, Luis Ku, Sean Masamune, Jun Romanelli, Genevieve Wojciechowski, Radosław K. Mathematical Physics Primary 39A12, Secondary 31C20, 47B39, 58J35, 60J27 We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs. |
| title | Form uniqueness for graphs with weakly spherically symmetric ends |
| topic | Mathematical Physics Primary 39A12, Secondary 31C20, 47B39, 58J35, 60J27 |
| url | https://arxiv.org/abs/2509.22967 |