Harnack inequality for parabolic equations in double-divergence form with singular lower order coefficients
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913670352601088 |
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| author | Gyöngy, Istvan Kim, Seick |
| author_facet | Gyöngy, Istvan Kim, Seick |
| contents | This paper investigates the Harnack inequality for nonnegative solutions to second-order parabolic equations in double divergence form. We impose conditions where the principal coefficients satisfy the Dini mean oscillation condition in $x$, while the drift and zeroth-order coefficients belong to specific Morrey classes. Our analysis contributes to advancing the theoretical foundations of parabolic equations in double divergence form, including Fokker-Planck-Kolmogorov equations for probability densities. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_04482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Harnack inequality for parabolic equations in double-divergence form with singular lower order coefficients Gyöngy, Istvan Kim, Seick Analysis of PDEs Probability Primary 35B45, 35B65, Secondary 35K10 This paper investigates the Harnack inequality for nonnegative solutions to second-order parabolic equations in double divergence form. We impose conditions where the principal coefficients satisfy the Dini mean oscillation condition in $x$, while the drift and zeroth-order coefficients belong to specific Morrey classes. Our analysis contributes to advancing the theoretical foundations of parabolic equations in double divergence form, including Fokker-Planck-Kolmogorov equations for probability densities. |
| title | Harnack inequality for parabolic equations in double-divergence form with singular lower order coefficients |
| topic | Analysis of PDEs Probability Primary 35B45, 35B65, Secondary 35K10 |
| url | https://arxiv.org/abs/2405.04482 |