Quantitative stability for the complex Monge-Ampère equations I
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911889673420800 |
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| author | Do, Hoang-Son Vu, Duc-Viet |
| author_facet | Do, Hoang-Son Vu, Duc-Viet |
| contents | We generalize several known stability estimates for complex Monge-Ampère equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other things, a quantitative domination principle, and metric properties of the space of potentials of finite energy. Further applications will be given in subsequent papers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17491 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative stability for the complex Monge-Ampère equations I Do, Hoang-Son Vu, Duc-Viet Complex Variables Analysis of PDEs We generalize several known stability estimates for complex Monge-Ampère equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other things, a quantitative domination principle, and metric properties of the space of potentials of finite energy. Further applications will be given in subsequent papers. |
| title | Quantitative stability for the complex Monge-Ampère equations I |
| topic | Complex Variables Analysis of PDEs |
| url | https://arxiv.org/abs/2405.17491 |