Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912981007204352 |
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| author | Zhang, Guoming |
| author_facet | Zhang, Guoming |
| contents | We study the De Giorgi-Moser-Nash estimates of higher-order parabolic equations in divergence form with complex-valued, measurable, bounded, uniformly elliptic (in the sense of G$\mathring{a}$rding inequality) and time-independent coefficients. We also obtain Gaussian upper bounds and Hölder regularity estimates for the fundamental solutions of this class of parabolic equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients Zhang, Guoming Analysis of PDEs We study the De Giorgi-Moser-Nash estimates of higher-order parabolic equations in divergence form with complex-valued, measurable, bounded, uniformly elliptic (in the sense of G$\mathring{a}$rding inequality) and time-independent coefficients. We also obtain Gaussian upper bounds and Hölder regularity estimates for the fundamental solutions of this class of parabolic equations. |
| title | Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.18898 |