Schauder estimates for equations with cone metrics, II
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866916228407230464 |
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| author | Guo, Bin Song, Jian |
| author_facet | Guo, Bin Song, Jian |
| contents | This is the continuation of our paper \cite{GS}, to study the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical Kähler-Ricci flow with conical singularities along a divisor with simple normal crossings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_03116 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Schauder estimates for equations with cone metrics, II Guo, Bin Song, Jian Differential Geometry Analysis of PDEs This is the continuation of our paper \cite{GS}, to study the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical Kähler-Ricci flow with conical singularities along a divisor with simple normal crossings. |
| title | Schauder estimates for equations with cone metrics, II |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/1809.03116 |