The Metivier inequality and ultradifferentiable hypoellipticity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917898656677888 |
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| author | Cordaro, Paulo D. Fürdös, Stefan |
| author_facet | Cordaro, Paulo D. Fürdös, Stefan |
| contents | In 1980 M{é}tivier characterized the analytic (and Gevrey) hypoellipticity of $L^2$-solvable partial linear differential operators by a-priori estimates. In this note we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy-Carleman classes given by suitable weight sequences. We also discuss the case when the solutions can be taken as hyperfunctions and present some applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14507 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Metivier inequality and ultradifferentiable hypoellipticity Cordaro, Paulo D. Fürdös, Stefan Analysis of PDEs 35B65 (Primary) 46E10 (Secondary) In 1980 M{é}tivier characterized the analytic (and Gevrey) hypoellipticity of $L^2$-solvable partial linear differential operators by a-priori estimates. In this note we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy-Carleman classes given by suitable weight sequences. We also discuss the case when the solutions can be taken as hyperfunctions and present some applications. |
| title | The Metivier inequality and ultradifferentiable hypoellipticity |
| topic | Analysis of PDEs 35B65 (Primary) 46E10 (Secondary) |
| url | https://arxiv.org/abs/2303.14507 |