Upper bounds of nodal sets for Gevrey regular parabolic equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917274903904256 |
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| author | Camliyurt, Guher Kukavica, Igor Li, Linfeng |
| author_facet | Camliyurt, Guher Kukavica, Igor Li, Linfeng |
| contents | We consider the size of the nodal set of the solution of the second order parabolic-type equation with Gevrey regular coefficients. We provide an upper bound as a function of time. The dependence agrees with a sharp upper bound when the coefficients are analytic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper bounds of nodal sets for Gevrey regular parabolic equations Camliyurt, Guher Kukavica, Igor Li, Linfeng Analysis of PDEs We consider the size of the nodal set of the solution of the second order parabolic-type equation with Gevrey regular coefficients. We provide an upper bound as a function of time. The dependence agrees with a sharp upper bound when the coefficients are analytic. |
| title | Upper bounds of nodal sets for Gevrey regular parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.09879 |