Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916277629485056 |
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| author | Radulescu, Vicentiu Shang, Bin Zhang, Chao |
| author_facet | Radulescu, Vicentiu Shang, Bin Zhang, Chao |
| contents | In this paper, we establish the Harnack inequality of nonnegative weak solutions to the doubly nonlinear mixed local and nonlocal parabolic equations. This result is obtained by combining a related comparison principle, a local boundedness estimate, and an integral Harnack-type inequality. Our proof is based on the expansion of positivity together with a comparison argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03889 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations Radulescu, Vicentiu Shang, Bin Zhang, Chao Analysis of PDEs In this paper, we establish the Harnack inequality of nonnegative weak solutions to the doubly nonlinear mixed local and nonlocal parabolic equations. This result is obtained by combining a related comparison principle, a local boundedness estimate, and an integral Harnack-type inequality. Our proof is based on the expansion of positivity together with a comparison argument. |
| title | Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.03889 |