Harnack inequality for degenerate fully nonlinear parabolic equations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911002107314176 |
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| author | Arya, Vedansh Julin, Vesa |
| author_facet | Arya, Vedansh Julin, Vesa |
| contents | We consider degenerate fully nonlinear parabolic equations, which generalize the p-parabolic equation with $p>2$ to nondivergence form operators. We prove an intrinsic Harnack inequality for nonnegative solutions and a weak Harnack inequality for nonnegative supersolutions. These results can be seen as the nondivergence form counterparts of the results by DiBenedetto, Gianazza and Vespri (Acta Math. 2008) and Kuusi (Ann. Sc. Norm. Super. Pisa 2008). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_10608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harnack inequality for degenerate fully nonlinear parabolic equations Arya, Vedansh Julin, Vesa Analysis of PDEs 35K55, 35K65, 35B65 We consider degenerate fully nonlinear parabolic equations, which generalize the p-parabolic equation with $p>2$ to nondivergence form operators. We prove an intrinsic Harnack inequality for nonnegative solutions and a weak Harnack inequality for nonnegative supersolutions. These results can be seen as the nondivergence form counterparts of the results by DiBenedetto, Gianazza and Vespri (Acta Math. 2008) and Kuusi (Ann. Sc. Norm. Super. Pisa 2008). |
| title | Harnack inequality for degenerate fully nonlinear parabolic equations |
| topic | Analysis of PDEs 35K55, 35K65, 35B65 |
| url | https://arxiv.org/abs/2506.10608 |