The Kato problem for weighted elliptic and parabolic operators of higher order
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866917066010787840 |
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| author | Zhang, Guoming |
| author_facet | Zhang, Guoming |
| contents | We solve the Kato square root problem for parabolic operators of arbitrary order $2m$ whose coefficients are allowed to depend on both space and time in a merely measurable way and possess boundedness and ellipticity controlled by a Muckenhoupt $A_{2}-$weight. Notably, the proof applies to the weighted Kato problem within an elliptic framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01636 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Kato problem for weighted elliptic and parabolic operators of higher order Zhang, Guoming Analysis of PDEs We solve the Kato square root problem for parabolic operators of arbitrary order $2m$ whose coefficients are allowed to depend on both space and time in a merely measurable way and possess boundedness and ellipticity controlled by a Muckenhoupt $A_{2}-$weight. Notably, the proof applies to the weighted Kato problem within an elliptic framework. |
| title | The Kato problem for weighted elliptic and parabolic operators of higher order |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.01636 |