A priori estimates for the complex Monge-Ampère equation after Krylov
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913964867190784 |
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| author | Dinew, Sławomir Sroka, Marcin |
| author_facet | Dinew, Sławomir Sroka, Marcin |
| contents | We establish an analytic proof for the Krylov $C^{1,1}$ estimates for solutions of degenerate complex Monge-Ampère equation. We also provide an analytic proof of the Bedford-Taylor interior $C^{1,1}$ estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21729 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A priori estimates for the complex Monge-Ampère equation after Krylov Dinew, Sławomir Sroka, Marcin Complex Variables Analysis of PDEs We establish an analytic proof for the Krylov $C^{1,1}$ estimates for solutions of degenerate complex Monge-Ampère equation. We also provide an analytic proof of the Bedford-Taylor interior $C^{1,1}$ estimate. |
| title | A priori estimates for the complex Monge-Ampère equation after Krylov |
| topic | Complex Variables Analysis of PDEs |
| url | https://arxiv.org/abs/2507.21729 |