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Mixed Local-Nonlocal Parabolic Equations in Heisenberg Group : Harnack Inequality with an Optimal Tail
[Submitted on 13 Jun 2026] · 2026-06-16 · via math updates on arXiv.org

Mathematics > Analysis of PDEs

arXiv:2606.15342 (math)

[Submitted on 13 Jun 2026]

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Abstract:We prove Harnack inequality with an optimal tail for linear mixed local-nonlocal parabolic equation on the Heisenberg group. For this purpose, we make use of the expansion of positivity method and a clustering lemma, thereby bypassing Moser iteration and logarithmic estimates.

Submission history

From: Debraj Kar [view email]
[v1] Sat, 13 Jun 2026 15:06:01 UTC (38 KB)

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