Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non-divergence form
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866916210677907456 |
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| author | Kurkinen, Tapio Parviainen, Mikko Siltakoski, Jarkko |
| author_facet | Kurkinen, Tapio Parviainen, Mikko Siltakoski, Jarkko |
| contents | We prove an elliptic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic $p$-Laplace equation and the normalized version that has been proposed in stochastic game theory. This version of the inequality doesn't require the intrinsic waiting time and we get the estimate with the same time level on both sides of the inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_02350 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non-divergence form Kurkinen, Tapio Parviainen, Mikko Siltakoski, Jarkko Analysis of PDEs 35K55, 35K67, 35D40 We prove an elliptic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic $p$-Laplace equation and the normalized version that has been proposed in stochastic game theory. This version of the inequality doesn't require the intrinsic waiting time and we get the estimate with the same time level on both sides of the inequality. |
| title | Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non-divergence form |
| topic | Analysis of PDEs 35K55, 35K67, 35D40 |
| url | https://arxiv.org/abs/2202.02350 |